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Finding the Third Proportional to 31,843.13 and 59,113.13

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Solution

The third proportional to 31,843.13 and 59,113.13 is: 109,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.13 : 59,113.13 = 59,113.13 : x
  2. Step 2: Convert to fraction form
    31,843.13/59,113.13 = 59,113.13/x
  3. Step 3: Cross multiply
    31,843.13x = 59,113.13 × 59,113.13
  4. Step 4: Simplify right side
    31,843.13x = 3,494,361,547.27
  5. Step 5: Solve for x
    x = 3,494,361,547.27/31,843.13
  6. Step 6: Final answer
    x = 109,736.77

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.