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Finding the Third Proportional to 15,963 and 34,723.50

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Solution

The third proportional to 15,963 and 34,723.50 is: 75,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,963 : 34,723.50 = 34,723.50 : x
  2. Step 2: Convert to fraction form
    15,963/34,723.50 = 34,723.50/x
  3. Step 3: Cross multiply
    15,963x = 34,723.50 × 34,723.50
  4. Step 4: Simplify right side
    15,963x = 1,205,721,452.25
  5. Step 5: Solve for x
    x = 1,205,721,452.25/15,963
  6. Step 6: Final answer
    x = 75,532.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.