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Finding the Third Proportional to 15,663.50 and 34,442.50

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Solution

The third proportional to 15,663.50 and 34,442.50 is: 75,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,663.50 : 34,442.50 = 34,442.50 : x
  2. Step 2: Convert to fraction form
    15,663.50/34,442.50 = 34,442.50/x
  3. Step 3: Cross multiply
    15,663.50x = 34,442.50 × 34,442.50
  4. Step 4: Simplify right side
    15,663.50x = 1,186,285,806.25
  5. Step 5: Solve for x
    x = 1,186,285,806.25/15,663.50
  6. Step 6: Final answer
    x = 75,735.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.