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Finding the Third Proportional to 27,260 and 39,992.50

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Solution

The third proportional to 27,260 and 39,992.50 is: 58,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,260 : 39,992.50 = 39,992.50 : x
  2. Step 2: Convert to fraction form
    27,260/39,992.50 = 39,992.50/x
  3. Step 3: Cross multiply
    27,260x = 39,992.50 × 39,992.50
  4. Step 4: Simplify right side
    27,260x = 1,599,400,056.25
  5. Step 5: Solve for x
    x = 1,599,400,056.25/27,260
  6. Step 6: Final answer
    x = 58,672.05

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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.