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Finding the Third Proportional to 10,214.25 and 14,065.75

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Solution

The third proportional to 10,214.25 and 14,065.75 is: 19,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.25 : 14,065.75 = 14,065.75 : x
  2. Step 2: Convert to fraction form
    10,214.25/14,065.75 = 14,065.75/x
  3. Step 3: Cross multiply
    10,214.25x = 14,065.75 × 14,065.75
  4. Step 4: Simplify right side
    10,214.25x = 197,845,323.06
  5. Step 5: Solve for x
    x = 197,845,323.06/10,214.25
  6. Step 6: Final answer
    x = 19,369.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.