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Finding the Third Proportional to 37,114 and 57,479

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Solution

The third proportional to 37,114 and 57,479 is: 89,018.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,114 : 57,479 = 57,479 : x
  2. Step 2: Convert to fraction form
    37,114/57,479 = 57,479/x
  3. Step 3: Cross multiply
    37,114x = 57,479 × 57,479
  4. Step 4: Simplify right side
    37,114x = 3,303,835,441
  5. Step 5: Solve for x
    x = 3,303,835,441/37,114
  6. Step 6: Final answer
    x = 89,018.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.