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Finding the Third Proportional to 23,959.13 and 37,135.13

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Solution

The third proportional to 23,959.13 and 37,135.13 is: 57,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,959.13 : 37,135.13 = 37,135.13 : x
  2. Step 2: Convert to fraction form
    23,959.13/37,135.13 = 37,135.13/x
  3. Step 3: Cross multiply
    23,959.13x = 37,135.13 × 37,135.13
  4. Step 4: Simplify right side
    23,959.13x = 1,379,017,508.77
  5. Step 5: Solve for x
    x = 1,379,017,508.77/23,959.13
  6. Step 6: Final answer
    x = 57,557.09

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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.