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Finding the Third Proportional to 37,042.31 and 57,302.44

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Solution

The third proportional to 37,042.31 and 57,302.44 is: 88,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,042.31 : 57,302.44 = 57,302.44 : x
  2. Step 2: Convert to fraction form
    37,042.31/57,302.44 = 57,302.44/x
  3. Step 3: Cross multiply
    37,042.31x = 57,302.44 × 57,302.44
  4. Step 4: Simplify right side
    37,042.31x = 3,283,569,343.44
  5. Step 5: Solve for x
    x = 3,283,569,343.44/37,042.31
  6. Step 6: Final answer
    x = 88,643.75

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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.