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Finding the Third Proportional to 38,177 and 58,252.63

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Solution

The third proportional to 38,177 and 58,252.63 is: 88,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,177 : 58,252.63 = 58,252.63 : x
  2. Step 2: Convert to fraction form
    38,177/58,252.63 = 58,252.63/x
  3. Step 3: Cross multiply
    38,177x = 58,252.63 × 58,252.63
  4. Step 4: Simplify right side
    38,177x = 3,393,368,319.39
  5. Step 5: Solve for x
    x = 3,393,368,319.39/38,177
  6. Step 6: Final answer
    x = 88,885.15

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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.