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Finding the Third Proportional to 37,420 and 55,020

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Solution

The third proportional to 37,420 and 55,020 is: 80,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,420 : 55,020 = 55,020 : x
  2. Step 2: Convert to fraction form
    37,420/55,020 = 55,020/x
  3. Step 3: Cross multiply
    37,420x = 55,020 × 55,020
  4. Step 4: Simplify right side
    37,420x = 3,027,200,400
  5. Step 5: Solve for x
    x = 3,027,200,400/37,420
  6. Step 6: Final answer
    x = 80,897.93

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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.