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Finding the Third Proportional to 11,719.69 and 13,056.19

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Solution

The third proportional to 11,719.69 and 13,056.19 is: 14,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.69 : 13,056.19 = 13,056.19 : x
  2. Step 2: Convert to fraction form
    11,719.69/13,056.19 = 13,056.19/x
  3. Step 3: Cross multiply
    11,719.69x = 13,056.19 × 13,056.19
  4. Step 4: Simplify right side
    11,719.69x = 170,464,032.04
  5. Step 5: Solve for x
    x = 170,464,032.04/11,719.69
  6. Step 6: Final answer
    x = 14,545.10

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.