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Finding the Third Proportional to 7,510.22 and 16,254.42

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Solution

The third proportional to 7,510.22 and 16,254.42 is: 35,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510.22 : 16,254.42 = 16,254.42 : x
  2. Step 2: Convert to fraction form
    7,510.22/16,254.42 = 16,254.42/x
  3. Step 3: Cross multiply
    7,510.22x = 16,254.42 × 16,254.42
  4. Step 4: Simplify right side
    7,510.22x = 264,206,230.49
  5. Step 5: Solve for x
    x = 264,206,230.49/7,510.22
  6. Step 6: Final answer
    x = 35,179.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.