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Finding the Third Proportional to 38,580.75 and 58,281.75

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Solution

The third proportional to 38,580.75 and 58,281.75 is: 88,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580.75 : 58,281.75 = 58,281.75 : x
  2. Step 2: Convert to fraction form
    38,580.75/58,281.75 = 58,281.75/x
  3. Step 3: Cross multiply
    38,580.75x = 58,281.75 × 58,281.75
  4. Step 4: Simplify right side
    38,580.75x = 3,396,762,383.06
  5. Step 5: Solve for x
    x = 3,396,762,383.06/38,580.75
  6. Step 6: Final answer
    x = 88,042.93

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Why These Related Problems?

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