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Finding the Third Proportional to 10,564 and 15,486

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Solution

The third proportional to 10,564 and 15,486 is: 22,701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564 : 15,486 = 15,486 : x
  2. Step 2: Convert to fraction form
    10,564/15,486 = 15,486/x
  3. Step 3: Cross multiply
    10,564x = 15,486 × 15,486
  4. Step 4: Simplify right side
    10,564x = 239,816,196
  5. Step 5: Solve for x
    x = 239,816,196/10,564
  6. Step 6: Final answer
    x = 22,701.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.