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Finding the Third Proportional to 16,934.06 and 24,193.69

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Solution

The third proportional to 16,934.06 and 24,193.69 is: 34,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,934.06 : 24,193.69 = 24,193.69 : x
  2. Step 2: Convert to fraction form
    16,934.06/24,193.69 = 24,193.69/x
  3. Step 3: Cross multiply
    16,934.06x = 24,193.69 × 24,193.69
  4. Step 4: Simplify right side
    16,934.06x = 585,334,514.85
  5. Step 5: Solve for x
    x = 585,334,514.85/16,934.06
  6. Step 6: Final answer
    x = 34,565.51

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.