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Finding the Third Proportional to 11,188.13 and 24,528.66

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Solution

The third proportional to 11,188.13 and 24,528.66 is: 53,776.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.13 : 24,528.66 = 24,528.66 : x
  2. Step 2: Convert to fraction form
    11,188.13/24,528.66 = 24,528.66/x
  3. Step 3: Cross multiply
    11,188.13x = 24,528.66 × 24,528.66
  4. Step 4: Simplify right side
    11,188.13x = 601,654,977.43
  5. Step 5: Solve for x
    x = 601,654,977.43/11,188.13
  6. Step 6: Final answer
    x = 53,776.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.