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Finding the Third Proportional to 38,491.88 and 56,406.38

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Solution

The third proportional to 38,491.88 and 56,406.38 is: 82,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,491.88 : 56,406.38 = 56,406.38 : x
  2. Step 2: Convert to fraction form
    38,491.88/56,406.38 = 56,406.38/x
  3. Step 3: Cross multiply
    38,491.88x = 56,406.38 × 56,406.38
  4. Step 4: Simplify right side
    38,491.88x = 3,181,679,140.64
  5. Step 5: Solve for x
    x = 3,181,679,140.64/38,491.88
  6. Step 6: Final answer
    x = 82,658.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.