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Finding the Third Proportional to 14,446.13 and 22,195.69

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Solution

The third proportional to 14,446.13 and 22,195.69 is: 34,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.13 : 22,195.69 = 22,195.69 : x
  2. Step 2: Convert to fraction form
    14,446.13/22,195.69 = 22,195.69/x
  3. Step 3: Cross multiply
    14,446.13x = 22,195.69 × 22,195.69
  4. Step 4: Simplify right side
    14,446.13x = 492,648,543.60
  5. Step 5: Solve for x
    x = 492,648,543.60/14,446.13
  6. Step 6: Final answer
    x = 34,102.47

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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.