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Finding the Third Proportional to 11,547.56 and 24,876.28

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Solution

The third proportional to 11,547.56 and 24,876.28 is: 53,589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.56 : 24,876.28 = 24,876.28 : x
  2. Step 2: Convert to fraction form
    11,547.56/24,876.28 = 24,876.28/x
  3. Step 3: Cross multiply
    11,547.56x = 24,876.28 × 24,876.28
  4. Step 4: Simplify right side
    11,547.56x = 618,829,368.83
  5. Step 5: Solve for x
    x = 618,829,368.83/11,547.56
  6. Step 6: Final answer
    x = 53,589.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.