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Finding the Third Proportional to 7,680.13 and 12,211.70

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Solution

The third proportional to 7,680.13 and 12,211.70 is: 19,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.13 : 12,211.70 = 12,211.70 : x
  2. Step 2: Convert to fraction form
    7,680.13/12,211.70 = 12,211.70/x
  3. Step 3: Cross multiply
    7,680.13x = 12,211.70 × 12,211.70
  4. Step 4: Simplify right side
    7,680.13x = 149,125,597.81
  5. Step 5: Solve for x
    x = 149,125,597.81/7,680.13
  6. Step 6: Final answer
    x = 19,417.07

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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.