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Finding the Third Proportional to 37,848.52 and 79,616.67

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Solution

The third proportional to 37,848.52 and 79,616.67 is: 167,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,848.52 : 79,616.67 = 79,616.67 : x
  2. Step 2: Convert to fraction form
    37,848.52/79,616.67 = 79,616.67/x
  3. Step 3: Cross multiply
    37,848.52x = 79,616.67 × 79,616.67
  4. Step 4: Simplify right side
    37,848.52x = 6,338,814,440.45
  5. Step 5: Solve for x
    x = 6,338,814,440.45/37,848.52
  6. Step 6: Final answer
    x = 167,478.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.