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Finding the Third Proportional to 8,575.88 and 12,585.38

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Solution

The third proportional to 8,575.88 and 12,585.38 is: 18,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.88 : 12,585.38 = 12,585.38 : x
  2. Step 2: Convert to fraction form
    8,575.88/12,585.38 = 12,585.38/x
  3. Step 3: Cross multiply
    8,575.88x = 12,585.38 × 12,585.38
  4. Step 4: Simplify right side
    8,575.88x = 158,391,663.89
  5. Step 5: Solve for x
    x = 158,391,663.89/8,575.88
  6. Step 6: Final answer
    x = 18,469.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.