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Finding the Third Proportional to 39,532 and 86,437

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Solution

The third proportional to 39,532 and 86,437 is: 188,995.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,532 : 86,437 = 86,437 : x
  2. Step 2: Convert to fraction form
    39,532/86,437 = 86,437/x
  3. Step 3: Cross multiply
    39,532x = 86,437 × 86,437
  4. Step 4: Simplify right side
    39,532x = 7,471,354,969
  5. Step 5: Solve for x
    x = 7,471,354,969/39,532
  6. Step 6: Final answer
    x = 188,995.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.