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Finding the Third Proportional to 35,850 and 77,919

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Solution

The third proportional to 35,850 and 77,919 is: 169,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,850 : 77,919 = 77,919 : x
  2. Step 2: Convert to fraction form
    35,850/77,919 = 77,919/x
  3. Step 3: Cross multiply
    35,850x = 77,919 × 77,919
  4. Step 4: Simplify right side
    35,850x = 6,071,370,561
  5. Step 5: Solve for x
    x = 6,071,370,561/35,850
  6. Step 6: Final answer
    x = 169,354.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.