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Finding the Third Proportional to 7,597.55 and 9,997.17

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Solution

The third proportional to 7,597.55 and 9,997.17 is: 13,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.55 : 9,997.17 = 9,997.17 : x
  2. Step 2: Convert to fraction form
    7,597.55/9,997.17 = 9,997.17/x
  3. Step 3: Cross multiply
    7,597.55x = 9,997.17 × 9,997.17
  4. Step 4: Simplify right side
    7,597.55x = 99,943,445.50
  5. Step 5: Solve for x
    x = 99,943,445.50/7,597.55
  6. Step 6: Final answer
    x = 13,154.70

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.