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Finding the Third Proportional to 35,562 and 53,567

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Solution

The third proportional to 35,562 and 53,567 is: 80,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,562 : 53,567 = 53,567 : x
  2. Step 2: Convert to fraction form
    35,562/53,567 = 53,567/x
  3. Step 3: Cross multiply
    35,562x = 53,567 × 53,567
  4. Step 4: Simplify right side
    35,562x = 2,869,423,489
  5. Step 5: Solve for x
    x = 2,869,423,489/35,562
  6. Step 6: Final answer
    x = 80,687.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.