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Finding the Third Proportional to 11,817.19 and 24,925.13

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Solution

The third proportional to 11,817.19 and 24,925.13 is: 52,572.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.19 : 24,925.13 = 24,925.13 : x
  2. Step 2: Convert to fraction form
    11,817.19/24,925.13 = 24,925.13/x
  3. Step 3: Cross multiply
    11,817.19x = 24,925.13 × 24,925.13
  4. Step 4: Simplify right side
    11,817.19x = 621,261,856.27
  5. Step 5: Solve for x
    x = 621,261,856.27/11,817.19
  6. Step 6: Final answer
    x = 52,572.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.