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Finding the Third Proportional to 11,034 and 24,153.75

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Solution

The third proportional to 11,034 and 24,153.75 is: 52,873.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,034 : 24,153.75 = 24,153.75 : x
  2. Step 2: Convert to fraction form
    11,034/24,153.75 = 24,153.75/x
  3. Step 3: Cross multiply
    11,034x = 24,153.75 × 24,153.75
  4. Step 4: Simplify right side
    11,034x = 583,403,639.06
  5. Step 5: Solve for x
    x = 583,403,639.06/11,034
  6. Step 6: Final answer
    x = 52,873.27

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Why These Related Problems?

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