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Finding the Third Proportional to 12,788 and 19,304

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Solution

The third proportional to 12,788 and 19,304 is: 29,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788 : 19,304 = 19,304 : x
  2. Step 2: Convert to fraction form
    12,788/19,304 = 19,304/x
  3. Step 3: Cross multiply
    12,788x = 19,304 × 19,304
  4. Step 4: Simplify right side
    12,788x = 372,644,416
  5. Step 5: Solve for x
    x = 372,644,416/12,788
  6. Step 6: Final answer
    x = 29,140.16

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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.