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Finding the Third Proportional to 13,732.88 and 32,923.13

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Solution

The third proportional to 13,732.88 and 32,923.13 is: 78,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.88 : 32,923.13 = 32,923.13 : x
  2. Step 2: Convert to fraction form
    13,732.88/32,923.13 = 32,923.13/x
  3. Step 3: Cross multiply
    13,732.88x = 32,923.13 × 32,923.13
  4. Step 4: Simplify right side
    13,732.88x = 1,083,932,159.77
  5. Step 5: Solve for x
    x = 1,083,932,159.77/13,732.88
  6. Step 6: Final answer
    x = 78,929.73

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.