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Finding the Third Proportional to 31,459.50 and 48,283.88

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Solution

The third proportional to 31,459.50 and 48,283.88 is: 74,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459.50 : 48,283.88 = 48,283.88 : x
  2. Step 2: Convert to fraction form
    31,459.50/48,283.88 = 48,283.88/x
  3. Step 3: Cross multiply
    31,459.50x = 48,283.88 × 48,283.88
  4. Step 4: Simplify right side
    31,459.50x = 2,331,332,585.02
  5. Step 5: Solve for x
    x = 2,331,332,585.02/31,459.50
  6. Step 6: Final answer
    x = 74,105.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.