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Finding the Third Proportional to 37,098 and 54,594

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Solution

The third proportional to 37,098 and 54,594 is: 80,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098 : 54,594 = 54,594 : x
  2. Step 2: Convert to fraction form
    37,098/54,594 = 54,594/x
  3. Step 3: Cross multiply
    37,098x = 54,594 × 54,594
  4. Step 4: Simplify right side
    37,098x = 2,980,504,836
  5. Step 5: Solve for x
    x = 2,980,504,836/37,098
  6. Step 6: Final answer
    x = 80,341.39

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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.