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Finding the Third Proportional to 7,551.98 and 16,197.47

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Solution

The third proportional to 7,551.98 and 16,197.47 is: 34,740.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.98 : 16,197.47 = 16,197.47 : x
  2. Step 2: Convert to fraction form
    7,551.98/16,197.47 = 16,197.47/x
  3. Step 3: Cross multiply
    7,551.98x = 16,197.47 × 16,197.47
  4. Step 4: Simplify right side
    7,551.98x = 262,357,993.91
  5. Step 5: Solve for x
    x = 262,357,993.91/7,551.98
  6. Step 6: Final answer
    x = 34,740.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.