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Finding the Third Proportional to 31,253.06 and 67,555.13

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Solution

The third proportional to 31,253.06 and 67,555.13 is: 146,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,253.06 : 67,555.13 = 67,555.13 : x
  2. Step 2: Convert to fraction form
    31,253.06/67,555.13 = 67,555.13/x
  3. Step 3: Cross multiply
    31,253.06x = 67,555.13 × 67,555.13
  4. Step 4: Simplify right side
    31,253.06x = 4,563,694,913.77
  5. Step 5: Solve for x
    x = 4,563,694,913.77/31,253.06
  6. Step 6: Final answer
    x = 146,023.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.