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Finding the Third Proportional to 41,631.47 and 56,432.95

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Solution

The third proportional to 41,631.47 and 56,432.95 is: 76,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,631.47 : 56,432.95 = 56,432.95 : x
  2. Step 2: Convert to fraction form
    41,631.47/56,432.95 = 56,432.95/x
  3. Step 3: Cross multiply
    41,631.47x = 56,432.95 × 56,432.95
  4. Step 4: Simplify right side
    41,631.47x = 3,184,678,198.41
  5. Step 5: Solve for x
    x = 3,184,678,198.41/41,631.47
  6. Step 6: Final answer
    x = 76,496.90

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.