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Finding the Third Proportional to 19,919.25 and 29,423.25

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Solution

The third proportional to 19,919.25 and 29,423.25 is: 43,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,919.25 : 29,423.25 = 29,423.25 : x
  2. Step 2: Convert to fraction form
    19,919.25/29,423.25 = 29,423.25/x
  3. Step 3: Cross multiply
    19,919.25x = 29,423.25 × 29,423.25
  4. Step 4: Simplify right side
    19,919.25x = 865,727,640.56
  5. Step 5: Solve for x
    x = 865,727,640.56/19,919.25
  6. Step 6: Final answer
    x = 43,461.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.