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Finding the Third Proportional to 35,707 and 77,767

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Solution

The third proportional to 35,707 and 77,767 is: 169,370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,707 : 77,767 = 77,767 : x
  2. Step 2: Convert to fraction form
    35,707/77,767 = 77,767/x
  3. Step 3: Cross multiply
    35,707x = 77,767 × 77,767
  4. Step 4: Simplify right side
    35,707x = 6,047,706,289
  5. Step 5: Solve for x
    x = 6,047,706,289/35,707
  6. Step 6: Final answer
    x = 169,370.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.