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Finding the Third Proportional to 35,080.50 and 77,545.50

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Solution

The third proportional to 35,080.50 and 77,545.50 is: 171,414.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,080.50 : 77,545.50 = 77,545.50 : x
  2. Step 2: Convert to fraction form
    35,080.50/77,545.50 = 77,545.50/x
  3. Step 3: Cross multiply
    35,080.50x = 77,545.50 × 77,545.50
  4. Step 4: Simplify right side
    35,080.50x = 6,013,304,570.25
  5. Step 5: Solve for x
    x = 6,013,304,570.25/35,080.50
  6. Step 6: Final answer
    x = 171,414.45

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.