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Finding the Third Proportional to 12,306.09 and 19,074.66

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Solution

The third proportional to 12,306.09 and 19,074.66 is: 29,566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.09 : 19,074.66 = 19,074.66 : x
  2. Step 2: Convert to fraction form
    12,306.09/19,074.66 = 19,074.66/x
  3. Step 3: Cross multiply
    12,306.09x = 19,074.66 × 19,074.66
  4. Step 4: Simplify right side
    12,306.09x = 363,842,511.06
  5. Step 5: Solve for x
    x = 363,842,511.06/12,306.09
  6. Step 6: Final answer
    x = 29,566.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.