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Finding the Third Proportional to 11,175.05 and 24,426.14

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Solution

The third proportional to 11,175.05 and 24,426.14 is: 53,390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.05 : 24,426.14 = 24,426.14 : x
  2. Step 2: Convert to fraction form
    11,175.05/24,426.14 = 24,426.14/x
  3. Step 3: Cross multiply
    11,175.05x = 24,426.14 × 24,426.14
  4. Step 4: Simplify right side
    11,175.05x = 596,636,345.83
  5. Step 5: Solve for x
    x = 596,636,345.83/11,175.05
  6. Step 6: Final answer
    x = 53,390.05

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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.