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Finding the Third Proportional to 11,035.69 and 24,134.06

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Solution

The third proportional to 11,035.69 and 24,134.06 is: 52,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,035.69 : 24,134.06 = 24,134.06 : x
  2. Step 2: Convert to fraction form
    11,035.69/24,134.06 = 24,134.06/x
  3. Step 3: Cross multiply
    11,035.69x = 24,134.06 × 24,134.06
  4. Step 4: Simplify right side
    11,035.69x = 582,452,972.75
  5. Step 5: Solve for x
    x = 582,452,972.75/11,035.69
  6. Step 6: Final answer
    x = 52,779.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.