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Finding the Third Proportional to 27,214.50 and 39,890.25

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Solution

The third proportional to 27,214.50 and 39,890.25 is: 58,470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214.50 : 39,890.25 = 39,890.25 : x
  2. Step 2: Convert to fraction form
    27,214.50/39,890.25 = 39,890.25/x
  3. Step 3: Cross multiply
    27,214.50x = 39,890.25 × 39,890.25
  4. Step 4: Simplify right side
    27,214.50x = 1,591,232,045.06
  5. Step 5: Solve for x
    x = 1,591,232,045.06/27,214.50
  6. Step 6: Final answer
    x = 58,470.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.