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Finding the Third Proportional to 37,715.75 and 78,531.88

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Solution

The third proportional to 37,715.75 and 78,531.88 is: 163,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,715.75 : 78,531.88 = 78,531.88 : x
  2. Step 2: Convert to fraction form
    37,715.75/78,531.88 = 78,531.88/x
  3. Step 3: Cross multiply
    37,715.75x = 78,531.88 × 78,531.88
  4. Step 4: Simplify right side
    37,715.75x = 6,167,255,391.02
  5. Step 5: Solve for x
    x = 6,167,255,391.02/37,715.75
  6. Step 6: Final answer
    x = 163,519.36

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.