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Finding the Third Proportional to 38,960 and 57,840

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Solution

The third proportional to 38,960 and 57,840 is: 85,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,960 : 57,840 = 57,840 : x
  2. Step 2: Convert to fraction form
    38,960/57,840 = 57,840/x
  3. Step 3: Cross multiply
    38,960x = 57,840 × 57,840
  4. Step 4: Simplify right side
    38,960x = 3,345,465,600
  5. Step 5: Solve for x
    x = 3,345,465,600/38,960
  6. Step 6: Final answer
    x = 85,869.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.