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Finding the Third Proportional to 19,482 and 29,223

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Solution

The third proportional to 19,482 and 29,223 is: 43,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,482 : 29,223 = 29,223 : x
  2. Step 2: Convert to fraction form
    19,482/29,223 = 29,223/x
  3. Step 3: Cross multiply
    19,482x = 29,223 × 29,223
  4. Step 4: Simplify right side
    19,482x = 853,983,729
  5. Step 5: Solve for x
    x = 853,983,729/19,482
  6. Step 6: Final answer
    x = 43,834.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.