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Finding the Third Proportional to 7,687.41 and 12,225.94

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Solution

The third proportional to 7,687.41 and 12,225.94 is: 19,443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.41 : 12,225.94 = 12,225.94 : x
  2. Step 2: Convert to fraction form
    7,687.41/12,225.94 = 12,225.94/x
  3. Step 3: Cross multiply
    7,687.41x = 12,225.94 × 12,225.94
  4. Step 4: Simplify right side
    7,687.41x = 149,473,547.75
  5. Step 5: Solve for x
    x = 149,473,547.75/7,687.41
  6. Step 6: Final answer
    x = 19,443.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.