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Finding the Third Proportional to 11,140.88 and 24,225.75

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Solution

The third proportional to 11,140.88 and 24,225.75 is: 52,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140.88 : 24,225.75 = 24,225.75 : x
  2. Step 2: Convert to fraction form
    11,140.88/24,225.75 = 24,225.75/x
  3. Step 3: Cross multiply
    11,140.88x = 24,225.75 × 24,225.75
  4. Step 4: Simplify right side
    11,140.88x = 586,886,963.06
  5. Step 5: Solve for x
    x = 586,886,963.06/11,140.88
  6. Step 6: Final answer
    x = 52,678.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.