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Finding the Third Proportional to 37,110 and 55,986

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Solution

The third proportional to 37,110 and 55,986 is: 84,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,110 : 55,986 = 55,986 : x
  2. Step 2: Convert to fraction form
    37,110/55,986 = 55,986/x
  3. Step 3: Cross multiply
    37,110x = 55,986 × 55,986
  4. Step 4: Simplify right side
    37,110x = 3,134,432,196
  5. Step 5: Solve for x
    x = 3,134,432,196/37,110
  6. Step 6: Final answer
    x = 84,463.28

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