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Finding the Third Proportional to 11,690.58 and 25,568.16

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Solution

The third proportional to 11,690.58 and 25,568.16 is: 55,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.58 : 25,568.16 = 25,568.16 : x
  2. Step 2: Convert to fraction form
    11,690.58/25,568.16 = 25,568.16/x
  3. Step 3: Cross multiply
    11,690.58x = 25,568.16 × 25,568.16
  4. Step 4: Simplify right side
    11,690.58x = 653,730,614.02
  5. Step 5: Solve for x
    x = 653,730,614.02/11,690.58
  6. Step 6: Final answer
    x = 55,919.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.