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Finding the Third Proportional to 24,564 and 39,156

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Solution

The third proportional to 24,564 and 39,156 is: 62,416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564 : 39,156 = 39,156 : x
  2. Step 2: Convert to fraction form
    24,564/39,156 = 39,156/x
  3. Step 3: Cross multiply
    24,564x = 39,156 × 39,156
  4. Step 4: Simplify right side
    24,564x = 1,533,192,336
  5. Step 5: Solve for x
    x = 1,533,192,336/24,564
  6. Step 6: Final answer
    x = 62,416.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.