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Finding the Third Proportional to 38,486 and 60,159

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Solution

The third proportional to 38,486 and 60,159 is: 94,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,486 : 60,159 = 60,159 : x
  2. Step 2: Convert to fraction form
    38,486/60,159 = 60,159/x
  3. Step 3: Cross multiply
    38,486x = 60,159 × 60,159
  4. Step 4: Simplify right side
    38,486x = 3,619,105,281
  5. Step 5: Solve for x
    x = 3,619,105,281/38,486
  6. Step 6: Final answer
    x = 94,036.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.