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Finding the Third Proportional to 35,560 and 55,782

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Solution

The third proportional to 35,560 and 55,782 is: 87,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,560 : 55,782 = 55,782 : x
  2. Step 2: Convert to fraction form
    35,560/55,782 = 55,782/x
  3. Step 3: Cross multiply
    35,560x = 55,782 × 55,782
  4. Step 4: Simplify right side
    35,560x = 3,111,631,524
  5. Step 5: Solve for x
    x = 3,111,631,524/35,560
  6. Step 6: Final answer
    x = 87,503.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.