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Finding the Third Proportional to 12,822 and 24,294

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Solution

The third proportional to 12,822 and 24,294 is: 46,030.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822 : 24,294 = 24,294 : x
  2. Step 2: Convert to fraction form
    12,822/24,294 = 24,294/x
  3. Step 3: Cross multiply
    12,822x = 24,294 × 24,294
  4. Step 4: Simplify right side
    12,822x = 590,198,436
  5. Step 5: Solve for x
    x = 590,198,436/12,822
  6. Step 6: Final answer
    x = 46,030.14

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.