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Finding the Third Proportional to 4,543.91 and 9,637.10

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Solution

The third proportional to 4,543.91 and 9,637.10 is: 20,439.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.91 : 9,637.10 = 9,637.10 : x
  2. Step 2: Convert to fraction form
    4,543.91/9,637.10 = 9,637.10/x
  3. Step 3: Cross multiply
    4,543.91x = 9,637.10 × 9,637.10
  4. Step 4: Simplify right side
    4,543.91x = 92,873,726.53
  5. Step 5: Solve for x
    x = 92,873,726.53/4,543.91
  6. Step 6: Final answer
    x = 20,439.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.