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Finding the Third Proportional to 31,129.31 and 48,334.22

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Solution

The third proportional to 31,129.31 and 48,334.22 is: 75,048.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.31 : 48,334.22 = 48,334.22 : x
  2. Step 2: Convert to fraction form
    31,129.31/48,334.22 = 48,334.22/x
  3. Step 3: Cross multiply
    31,129.31x = 48,334.22 × 48,334.22
  4. Step 4: Simplify right side
    31,129.31x = 2,336,196,702.17
  5. Step 5: Solve for x
    x = 2,336,196,702.17/31,129.31
  6. Step 6: Final answer
    x = 75,048.13

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