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Finding the Third Proportional to 10,964.75 and 24,116.50

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Solution

The third proportional to 10,964.75 and 24,116.50 is: 53,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.75 : 24,116.50 = 24,116.50 : x
  2. Step 2: Convert to fraction form
    10,964.75/24,116.50 = 24,116.50/x
  3. Step 3: Cross multiply
    10,964.75x = 24,116.50 × 24,116.50
  4. Step 4: Simplify right side
    10,964.75x = 581,605,572.25
  5. Step 5: Solve for x
    x = 581,605,572.25/10,964.75
  6. Step 6: Final answer
    x = 53,043.21

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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.