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Finding the Third Proportional to 39,332 and 62,308

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Solution

The third proportional to 39,332 and 62,308 is: 98,705.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,332 : 62,308 = 62,308 : x
  2. Step 2: Convert to fraction form
    39,332/62,308 = 62,308/x
  3. Step 3: Cross multiply
    39,332x = 62,308 × 62,308
  4. Step 4: Simplify right side
    39,332x = 3,882,286,864
  5. Step 5: Solve for x
    x = 3,882,286,864/39,332
  6. Step 6: Final answer
    x = 98,705.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.