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Finding the Third Proportional to 37,040.63 and 87,385.50

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Solution

The third proportional to 37,040.63 and 87,385.50 is: 206,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,040.63 : 87,385.50 = 87,385.50 : x
  2. Step 2: Convert to fraction form
    37,040.63/87,385.50 = 87,385.50/x
  3. Step 3: Cross multiply
    37,040.63x = 87,385.50 × 87,385.50
  4. Step 4: Simplify right side
    37,040.63x = 7,636,225,610.25
  5. Step 5: Solve for x
    x = 7,636,225,610.25/37,040.63
  6. Step 6: Final answer
    x = 206,158.12

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.