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Finding the Third Proportional to 39,822 and 62,154

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Solution

The third proportional to 39,822 and 62,154 is: 97,009.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,822 : 62,154 = 62,154 : x
  2. Step 2: Convert to fraction form
    39,822/62,154 = 62,154/x
  3. Step 3: Cross multiply
    39,822x = 62,154 × 62,154
  4. Step 4: Simplify right side
    39,822x = 3,863,119,716
  5. Step 5: Solve for x
    x = 3,863,119,716/39,822
  6. Step 6: Final answer
    x = 97,009.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.