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Finding the Third Proportional to 10,602 and 17,497

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Solution

The third proportional to 10,602 and 17,497 is: 28,876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602 : 17,497 = 17,497 : x
  2. Step 2: Convert to fraction form
    10,602/17,497 = 17,497/x
  3. Step 3: Cross multiply
    10,602x = 17,497 × 17,497
  4. Step 4: Simplify right side
    10,602x = 306,145,009
  5. Step 5: Solve for x
    x = 306,145,009/10,602
  6. Step 6: Final answer
    x = 28,876.16

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.