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Finding the Third Proportional to 37,023 and 79,957

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Solution

The third proportional to 37,023 and 79,957 is: 172,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,023 : 79,957 = 79,957 : x
  2. Step 2: Convert to fraction form
    37,023/79,957 = 79,957/x
  3. Step 3: Cross multiply
    37,023x = 79,957 × 79,957
  4. Step 4: Simplify right side
    37,023x = 6,393,121,849
  5. Step 5: Solve for x
    x = 6,393,121,849/37,023
  6. Step 6: Final answer
    x = 172,679.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.