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Finding the Third Proportional to 12,934.69 and 17,809.88

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Solution

The third proportional to 12,934.69 and 17,809.88 is: 24,522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.69 : 17,809.88 = 17,809.88 : x
  2. Step 2: Convert to fraction form
    12,934.69/17,809.88 = 17,809.88/x
  3. Step 3: Cross multiply
    12,934.69x = 17,809.88 × 17,809.88
  4. Step 4: Simplify right side
    12,934.69x = 317,191,647.52
  5. Step 5: Solve for x
    x = 317,191,647.52/12,934.69
  6. Step 6: Final answer
    x = 24,522.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.