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Finding the Third Proportional to 31,548.38 and 52,582.50

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Solution

The third proportional to 31,548.38 and 52,582.50 is: 87,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,548.38 : 52,582.50 = 52,582.50 : x
  2. Step 2: Convert to fraction form
    31,548.38/52,582.50 = 52,582.50/x
  3. Step 3: Cross multiply
    31,548.38x = 52,582.50 × 52,582.50
  4. Step 4: Simplify right side
    31,548.38x = 2,764,919,306.25
  5. Step 5: Solve for x
    x = 2,764,919,306.25/31,548.38
  6. Step 6: Final answer
    x = 87,640.63

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.