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Finding the Third Proportional to 39,624 and 87,022

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Solution

The third proportional to 39,624 and 87,022 is: 191,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,624 : 87,022 = 87,022 : x
  2. Step 2: Convert to fraction form
    39,624/87,022 = 87,022/x
  3. Step 3: Cross multiply
    39,624x = 87,022 × 87,022
  4. Step 4: Simplify right side
    39,624x = 7,572,828,484
  5. Step 5: Solve for x
    x = 7,572,828,484/39,624
  6. Step 6: Final answer
    x = 191,117.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.