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Finding the Third Proportional to 38,758.50 and 58,461.75

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Solution

The third proportional to 38,758.50 and 58,461.75 is: 88,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,758.50 : 58,461.75 = 58,461.75 : x
  2. Step 2: Convert to fraction form
    38,758.50/58,461.75 = 58,461.75/x
  3. Step 3: Cross multiply
    38,758.50x = 58,461.75 × 58,461.75
  4. Step 4: Simplify right side
    38,758.50x = 3,417,776,213.06
  5. Step 5: Solve for x
    x = 3,417,776,213.06/38,758.50
  6. Step 6: Final answer
    x = 88,181.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.