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Finding the Third Proportional to 37,288 and 57,607

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Solution

The third proportional to 37,288 and 57,607 is: 88,998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,288 : 57,607 = 57,607 : x
  2. Step 2: Convert to fraction form
    37,288/57,607 = 57,607/x
  3. Step 3: Cross multiply
    37,288x = 57,607 × 57,607
  4. Step 4: Simplify right side
    37,288x = 3,318,566,449
  5. Step 5: Solve for x
    x = 3,318,566,449/37,288
  6. Step 6: Final answer
    x = 88,998.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.