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Finding the Third Proportional to 11,565.63 and 24,885.44

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Solution

The third proportional to 11,565.63 and 24,885.44 is: 53,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.63 : 24,885.44 = 24,885.44 : x
  2. Step 2: Convert to fraction form
    11,565.63/24,885.44 = 24,885.44/x
  3. Step 3: Cross multiply
    11,565.63x = 24,885.44 × 24,885.44
  4. Step 4: Simplify right side
    11,565.63x = 619,284,999.57
  5. Step 5: Solve for x
    x = 619,284,999.57/11,565.63
  6. Step 6: Final answer
    x = 53,545.31

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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.