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Finding the Third Proportional to 47,280 and 63,085.50

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Solution

The third proportional to 47,280 and 63,085.50 is: 84,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,280 : 63,085.50 = 63,085.50 : x
  2. Step 2: Convert to fraction form
    47,280/63,085.50 = 63,085.50/x
  3. Step 3: Cross multiply
    47,280x = 63,085.50 × 63,085.50
  4. Step 4: Simplify right side
    47,280x = 3,979,780,310.25
  5. Step 5: Solve for x
    x = 3,979,780,310.25/47,280
  6. Step 6: Final answer
    x = 84,174.71

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.