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Finding the Third Proportional to 19,006 and 28,624

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Solution

The third proportional to 19,006 and 28,624 is: 43,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,006 : 28,624 = 28,624 : x
  2. Step 2: Convert to fraction form
    19,006/28,624 = 28,624/x
  3. Step 3: Cross multiply
    19,006x = 28,624 × 28,624
  4. Step 4: Simplify right side
    19,006x = 819,333,376
  5. Step 5: Solve for x
    x = 819,333,376/19,006
  6. Step 6: Final answer
    x = 43,109.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.