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Finding the Third Proportional to 38,360 and 58,778

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Solution

The third proportional to 38,360 and 58,778 is: 90,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,360 : 58,778 = 58,778 : x
  2. Step 2: Convert to fraction form
    38,360/58,778 = 58,778/x
  3. Step 3: Cross multiply
    38,360x = 58,778 × 58,778
  4. Step 4: Simplify right side
    38,360x = 3,454,853,284
  5. Step 5: Solve for x
    x = 3,454,853,284/38,360
  6. Step 6: Final answer
    x = 90,063.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.