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Finding the Third Proportional to 37,154 and 56,442

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Solution

The third proportional to 37,154 and 56,442 is: 85,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,154 : 56,442 = 56,442 : x
  2. Step 2: Convert to fraction form
    37,154/56,442 = 56,442/x
  3. Step 3: Cross multiply
    37,154x = 56,442 × 56,442
  4. Step 4: Simplify right side
    37,154x = 3,185,699,364
  5. Step 5: Solve for x
    x = 3,185,699,364/37,154
  6. Step 6: Final answer
    x = 85,743.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.