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Finding the Third Proportional to 7,880.63 and 11,917.13

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Solution

The third proportional to 7,880.63 and 11,917.13 is: 18,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.63 : 11,917.13 = 11,917.13 : x
  2. Step 2: Convert to fraction form
    7,880.63/11,917.13 = 11,917.13/x
  3. Step 3: Cross multiply
    7,880.63x = 11,917.13 × 11,917.13
  4. Step 4: Simplify right side
    7,880.63x = 142,017,868.27
  5. Step 5: Solve for x
    x = 142,017,868.27/7,880.63
  6. Step 6: Final answer
    x = 18,021.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.