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Finding the Third Proportional to 35,769 and 77,780

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Solution

The third proportional to 35,769 and 77,780 is: 169,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,769 : 77,780 = 77,780 : x
  2. Step 2: Convert to fraction form
    35,769/77,780 = 77,780/x
  3. Step 3: Cross multiply
    35,769x = 77,780 × 77,780
  4. Step 4: Simplify right side
    35,769x = 6,049,728,400
  5. Step 5: Solve for x
    x = 6,049,728,400/35,769
  6. Step 6: Final answer
    x = 169,133.28

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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.