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Finding the Third Proportional to 11,312.88 and 24,856.13

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Solution

The third proportional to 11,312.88 and 24,856.13 is: 54,612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.88 : 24,856.13 = 24,856.13 : x
  2. Step 2: Convert to fraction form
    11,312.88/24,856.13 = 24,856.13/x
  3. Step 3: Cross multiply
    11,312.88x = 24,856.13 × 24,856.13
  4. Step 4: Simplify right side
    11,312.88x = 617,826,950.02
  5. Step 5: Solve for x
    x = 617,826,950.02/11,312.88
  6. Step 6: Final answer
    x = 54,612.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.