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Finding the Third Proportional to 37,429.31 and 55,048.78

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Solution

The third proportional to 37,429.31 and 55,048.78 is: 80,962.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,429.31 : 55,048.78 = 55,048.78 : x
  2. Step 2: Convert to fraction form
    37,429.31/55,048.78 = 55,048.78/x
  3. Step 3: Cross multiply
    37,429.31x = 55,048.78 × 55,048.78
  4. Step 4: Simplify right side
    37,429.31x = 3,030,368,317.11
  5. Step 5: Solve for x
    x = 3,030,368,317.11/37,429.31
  6. Step 6: Final answer
    x = 80,962.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.