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Finding the Third Proportional to 31,304.81 and 48,453.19

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Solution

The third proportional to 31,304.81 and 48,453.19 is: 74,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,304.81 : 48,453.19 = 48,453.19 : x
  2. Step 2: Convert to fraction form
    31,304.81/48,453.19 = 48,453.19/x
  3. Step 3: Cross multiply
    31,304.81x = 48,453.19 × 48,453.19
  4. Step 4: Simplify right side
    31,304.81x = 2,347,711,378.91
  5. Step 5: Solve for x
    x = 2,347,711,378.91/31,304.81
  6. Step 6: Final answer
    x = 74,995.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.