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Finding the Third Proportional to 4,672.13 and 7,432.31

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Solution

The third proportional to 4,672.13 and 7,432.31 is: 11,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.13 : 7,432.31 = 7,432.31 : x
  2. Step 2: Convert to fraction form
    4,672.13/7,432.31 = 7,432.31/x
  3. Step 3: Cross multiply
    4,672.13x = 7,432.31 × 7,432.31
  4. Step 4: Simplify right side
    4,672.13x = 55,239,269.10
  5. Step 5: Solve for x
    x = 55,239,269.10/4,672.13
  6. Step 6: Final answer
    x = 11,823.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.