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Finding the Third Proportional to 10,564 and 16,485

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Solution

The third proportional to 10,564 and 16,485 is: 25,724.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564 : 16,485 = 16,485 : x
  2. Step 2: Convert to fraction form
    10,564/16,485 = 16,485/x
  3. Step 3: Cross multiply
    10,564x = 16,485 × 16,485
  4. Step 4: Simplify right side
    10,564x = 271,755,225
  5. Step 5: Solve for x
    x = 271,755,225/10,564
  6. Step 6: Final answer
    x = 25,724.65

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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.