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Finding the Third Proportional to 37,748 and 79,992

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Solution

The third proportional to 37,748 and 79,992 is: 169,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,748 : 79,992 = 79,992 : x
  2. Step 2: Convert to fraction form
    37,748/79,992 = 79,992/x
  3. Step 3: Cross multiply
    37,748x = 79,992 × 79,992
  4. Step 4: Simplify right side
    37,748x = 6,398,720,064
  5. Step 5: Solve for x
    x = 6,398,720,064/37,748
  6. Step 6: Final answer
    x = 169,511.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.