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Finding the Third Proportional to 37,560 and 79,900

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Solution

The third proportional to 37,560 and 79,900 is: 169,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,560 : 79,900 = 79,900 : x
  2. Step 2: Convert to fraction form
    37,560/79,900 = 79,900/x
  3. Step 3: Cross multiply
    37,560x = 79,900 × 79,900
  4. Step 4: Simplify right side
    37,560x = 6,384,010,000
  5. Step 5: Solve for x
    x = 6,384,010,000/37,560
  6. Step 6: Final answer
    x = 169,968.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.