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Finding the Third Proportional to 9,657 and 15,507

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Solution

The third proportional to 9,657 and 15,507 is: 24,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657 : 15,507 = 15,507 : x
  2. Step 2: Convert to fraction form
    9,657/15,507 = 15,507/x
  3. Step 3: Cross multiply
    9,657x = 15,507 × 15,507
  4. Step 4: Simplify right side
    9,657x = 240,467,049
  5. Step 5: Solve for x
    x = 240,467,049/9,657
  6. Step 6: Final answer
    x = 24,900.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.