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Finding the Third Proportional to 15,564 and 24,966

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Solution

The third proportional to 15,564 and 24,966 is: 40,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,564 : 24,966 = 24,966 : x
  2. Step 2: Convert to fraction form
    15,564/24,966 = 24,966/x
  3. Step 3: Cross multiply
    15,564x = 24,966 × 24,966
  4. Step 4: Simplify right side
    15,564x = 623,301,156
  5. Step 5: Solve for x
    x = 623,301,156/15,564
  6. Step 6: Final answer
    x = 40,047.62

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.