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Finding the Third Proportional to 7,451.16 and 16,286.48

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Solution

The third proportional to 7,451.16 and 16,286.48 is: 35,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.16 : 16,286.48 = 16,286.48 : x
  2. Step 2: Convert to fraction form
    7,451.16/16,286.48 = 16,286.48/x
  3. Step 3: Cross multiply
    7,451.16x = 16,286.48 × 16,286.48
  4. Step 4: Simplify right side
    7,451.16x = 265,249,573.30
  5. Step 5: Solve for x
    x = 265,249,573.30/7,451.16
  6. Step 6: Final answer
    x = 35,598.44

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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.