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Finding the Third Proportional to 37,712 and 57,368

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Solution

The third proportional to 37,712 and 57,368 is: 87,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,712 : 57,368 = 57,368 : x
  2. Step 2: Convert to fraction form
    37,712/57,368 = 57,368/x
  3. Step 3: Cross multiply
    37,712x = 57,368 × 57,368
  4. Step 4: Simplify right side
    37,712x = 3,291,087,424
  5. Step 5: Solve for x
    x = 3,291,087,424/37,712
  6. Step 6: Final answer
    x = 87,268.97

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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.