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Finding the Third Proportional to 38,880 and 60,038

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Solution

The third proportional to 38,880 and 60,038 is: 92,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,880 : 60,038 = 60,038 : x
  2. Step 2: Convert to fraction form
    38,880/60,038 = 60,038/x
  3. Step 3: Cross multiply
    38,880x = 60,038 × 60,038
  4. Step 4: Simplify right side
    38,880x = 3,604,561,444
  5. Step 5: Solve for x
    x = 3,604,561,444/38,880
  6. Step 6: Final answer
    x = 92,709.91

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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.