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Finding the Third Proportional to 31,762.13 and 42,337.69

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Solution

The third proportional to 31,762.13 and 42,337.69 is: 56,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.13 : 42,337.69 = 42,337.69 : x
  2. Step 2: Convert to fraction form
    31,762.13/42,337.69 = 42,337.69/x
  3. Step 3: Cross multiply
    31,762.13x = 42,337.69 × 42,337.69
  4. Step 4: Simplify right side
    31,762.13x = 1,792,479,782.85
  5. Step 5: Solve for x
    x = 1,792,479,782.85/31,762.13
  6. Step 6: Final answer
    x = 56,434.50

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.