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Finding the Third Proportional to 38,712.75 and 59,179.50

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Solution

The third proportional to 38,712.75 and 59,179.50 is: 90,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,712.75 : 59,179.50 = 59,179.50 : x
  2. Step 2: Convert to fraction form
    38,712.75/59,179.50 = 59,179.50/x
  3. Step 3: Cross multiply
    38,712.75x = 59,179.50 × 59,179.50
  4. Step 4: Simplify right side
    38,712.75x = 3,502,213,220.25
  5. Step 5: Solve for x
    x = 3,502,213,220.25/38,712.75
  6. Step 6: Final answer
    x = 90,466.66

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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.