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Finding the Third Proportional to 38,040 and 58,500

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Solution

The third proportional to 38,040 and 58,500 is: 89,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,040 : 58,500 = 58,500 : x
  2. Step 2: Convert to fraction form
    38,040/58,500 = 58,500/x
  3. Step 3: Cross multiply
    38,040x = 58,500 × 58,500
  4. Step 4: Simplify right side
    38,040x = 3,422,250,000
  5. Step 5: Solve for x
    x = 3,422,250,000/38,040
  6. Step 6: Final answer
    x = 89,964.51

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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.