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Finding the Third Proportional to 35,744 and 54,560

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Solution

The third proportional to 35,744 and 54,560 is: 83,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,744 : 54,560 = 54,560 : x
  2. Step 2: Convert to fraction form
    35,744/54,560 = 54,560/x
  3. Step 3: Cross multiply
    35,744x = 54,560 × 54,560
  4. Step 4: Simplify right side
    35,744x = 2,976,793,600
  5. Step 5: Solve for x
    x = 2,976,793,600/35,744
  6. Step 6: Final answer
    x = 83,280.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.