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Finding the Third Proportional to 35,840 and 77,814

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Solution

The third proportional to 35,840 and 77,814 is: 168,945.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,840 : 77,814 = 77,814 : x
  2. Step 2: Convert to fraction form
    35,840/77,814 = 77,814/x
  3. Step 3: Cross multiply
    35,840x = 77,814 × 77,814
  4. Step 4: Simplify right side
    35,840x = 6,055,018,596
  5. Step 5: Solve for x
    x = 6,055,018,596/35,840
  6. Step 6: Final answer
    x = 168,945.83

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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.