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Finding the Third Proportional to 9,757.13 and 15,000.19

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Solution

The third proportional to 9,757.13 and 15,000.19 is: 23,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.13 : 15,000.19 = 15,000.19 : x
  2. Step 2: Convert to fraction form
    9,757.13/15,000.19 = 15,000.19/x
  3. Step 3: Cross multiply
    9,757.13x = 15,000.19 × 15,000.19
  4. Step 4: Simplify right side
    9,757.13x = 225,005,625.04
  5. Step 5: Solve for x
    x = 225,005,625.04/9,757.13
  6. Step 6: Final answer
    x = 23,060.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.