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Finding the Third Proportional to 11,557 and 24,747.50

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Solution

The third proportional to 11,557 and 24,747.50 is: 52,992.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557 : 24,747.50 = 24,747.50 : x
  2. Step 2: Convert to fraction form
    11,557/24,747.50 = 24,747.50/x
  3. Step 3: Cross multiply
    11,557x = 24,747.50 × 24,747.50
  4. Step 4: Simplify right side
    11,557x = 612,438,756.25
  5. Step 5: Solve for x
    x = 612,438,756.25/11,557
  6. Step 6: Final answer
    x = 52,992.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.