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Finding the Third Proportional to 47,702.50 and 75,517.50

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Solution

The third proportional to 47,702.50 and 75,517.50 is: 119,551.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,702.50 : 75,517.50 = 75,517.50 : x
  2. Step 2: Convert to fraction form
    47,702.50/75,517.50 = 75,517.50/x
  3. Step 3: Cross multiply
    47,702.50x = 75,517.50 × 75,517.50
  4. Step 4: Simplify right side
    47,702.50x = 5,702,892,806.25
  5. Step 5: Solve for x
    x = 5,702,892,806.25/47,702.50
  6. Step 6: Final answer
    x = 119,551.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.