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Finding the Third Proportional to 6,502.13 and 10,045.88

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Solution

The third proportional to 6,502.13 and 10,045.88 is: 15,521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.13 : 10,045.88 = 10,045.88 : x
  2. Step 2: Convert to fraction form
    6,502.13/10,045.88 = 10,045.88/x
  3. Step 3: Cross multiply
    6,502.13x = 10,045.88 × 10,045.88
  4. Step 4: Simplify right side
    6,502.13x = 100,919,604.52
  5. Step 5: Solve for x
    x = 100,919,604.52/6,502.13
  6. Step 6: Final answer
    x = 15,521.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.