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Finding the Third Proportional to 19,282 and 28,762

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Solution

The third proportional to 19,282 and 28,762 is: 42,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,282 : 28,762 = 28,762 : x
  2. Step 2: Convert to fraction form
    19,282/28,762 = 28,762/x
  3. Step 3: Cross multiply
    19,282x = 28,762 × 28,762
  4. Step 4: Simplify right side
    19,282x = 827,252,644
  5. Step 5: Solve for x
    x = 827,252,644/19,282
  6. Step 6: Final answer
    x = 42,902.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.