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Finding the Third Proportional to 11,152.13 and 17,929.69

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Solution

The third proportional to 11,152.13 and 17,929.69 is: 28,826.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152.13 : 17,929.69 = 17,929.69 : x
  2. Step 2: Convert to fraction form
    11,152.13/17,929.69 = 17,929.69/x
  3. Step 3: Cross multiply
    11,152.13x = 17,929.69 × 17,929.69
  4. Step 4: Simplify right side
    11,152.13x = 321,473,693.85
  5. Step 5: Solve for x
    x = 321,473,693.85/11,152.13
  6. Step 6: Final answer
    x = 28,826.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.