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Finding the Third Proportional to 37,470 and 79,080

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Solution

The third proportional to 37,470 and 79,080 is: 166,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,470 : 79,080 = 79,080 : x
  2. Step 2: Convert to fraction form
    37,470/79,080 = 79,080/x
  3. Step 3: Cross multiply
    37,470x = 79,080 × 79,080
  4. Step 4: Simplify right side
    37,470x = 6,253,646,400
  5. Step 5: Solve for x
    x = 6,253,646,400/37,470
  6. Step 6: Final answer
    x = 166,897.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.