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Finding the Third Proportional to 14,329.13 and 22,132.69

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Solution

The third proportional to 14,329.13 and 22,132.69 is: 34,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,329.13 : 22,132.69 = 22,132.69 : x
  2. Step 2: Convert to fraction form
    14,329.13/22,132.69 = 22,132.69/x
  3. Step 3: Cross multiply
    14,329.13x = 22,132.69 × 22,132.69
  4. Step 4: Simplify right side
    14,329.13x = 489,855,855.97
  5. Step 5: Solve for x
    x = 489,855,855.97/14,329.13
  6. Step 6: Final answer
    x = 34,186.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.