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Finding the Third Proportional to 7,681.50 and 12,234.38

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Solution

The third proportional to 7,681.50 and 12,234.38 is: 19,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.50 : 12,234.38 = 12,234.38 : x
  2. Step 2: Convert to fraction form
    7,681.50/12,234.38 = 12,234.38/x
  3. Step 3: Cross multiply
    7,681.50x = 12,234.38 × 12,234.38
  4. Step 4: Simplify right side
    7,681.50x = 149,679,931.64
  5. Step 5: Solve for x
    x = 149,679,931.64/7,681.50
  6. Step 6: Final answer
    x = 19,485.77

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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.