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Finding the Third Proportional to 7,684.88 and 12,377.81

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Solution

The third proportional to 7,684.88 and 12,377.81 is: 19,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.88 : 12,377.81 = 12,377.81 : x
  2. Step 2: Convert to fraction form
    7,684.88/12,377.81 = 12,377.81/x
  3. Step 3: Cross multiply
    7,684.88x = 12,377.81 × 12,377.81
  4. Step 4: Simplify right side
    7,684.88x = 153,210,242.29
  5. Step 5: Solve for x
    x = 153,210,242.29/7,684.88
  6. Step 6: Final answer
    x = 19,936.60

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.