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Finding the Third Proportional to 32,767.03 and 40,672.13

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Solution

The third proportional to 32,767.03 and 40,672.13 is: 50,484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.03 : 40,672.13 = 40,672.13 : x
  2. Step 2: Convert to fraction form
    32,767.03/40,672.13 = 40,672.13/x
  3. Step 3: Cross multiply
    32,767.03x = 40,672.13 × 40,672.13
  4. Step 4: Simplify right side
    32,767.03x = 1,654,221,752.02
  5. Step 5: Solve for x
    x = 1,654,221,752.02/32,767.03
  6. Step 6: Final answer
    x = 50,484.33

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.