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Finding the Third Proportional to 9,754.17 and 13,125.80

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Solution

The third proportional to 9,754.17 and 13,125.80 is: 17,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.17 : 13,125.80 = 13,125.80 : x
  2. Step 2: Convert to fraction form
    9,754.17/13,125.80 = 13,125.80/x
  3. Step 3: Cross multiply
    9,754.17x = 13,125.80 × 13,125.80
  4. Step 4: Simplify right side
    9,754.17x = 172,286,543.60
  5. Step 5: Solve for x
    x = 172,286,543.60/9,754.17
  6. Step 6: Final answer
    x = 17,662.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.