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Finding the Third Proportional to 9,013.78 and 14,500.27

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Solution

The third proportional to 9,013.78 and 14,500.27 is: 23,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.78 : 14,500.27 = 14,500.27 : x
  2. Step 2: Convert to fraction form
    9,013.78/14,500.27 = 14,500.27/x
  3. Step 3: Cross multiply
    9,013.78x = 14,500.27 × 14,500.27
  4. Step 4: Simplify right side
    9,013.78x = 210,257,703.20
  5. Step 5: Solve for x
    x = 210,257,703.20/9,013.78
  6. Step 6: Final answer
    x = 23,326.25

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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.