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Finding the Third Proportional to 4,013.30 and 8,637.89

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Solution

The third proportional to 4,013.30 and 8,637.89 is: 18,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.30 : 8,637.89 = 8,637.89 : x
  2. Step 2: Convert to fraction form
    4,013.30/8,637.89 = 8,637.89/x
  3. Step 3: Cross multiply
    4,013.30x = 8,637.89 × 8,637.89
  4. Step 4: Simplify right side
    4,013.30x = 74,613,154.45
  5. Step 5: Solve for x
    x = 74,613,154.45/4,013.30
  6. Step 6: Final answer
    x = 18,591.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.