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Finding the Third Proportional to 9,518.25 and 13,952.63

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Solution

The third proportional to 9,518.25 and 13,952.63 is: 20,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.25 : 13,952.63 = 13,952.63 : x
  2. Step 2: Convert to fraction form
    9,518.25/13,952.63 = 13,952.63/x
  3. Step 3: Cross multiply
    9,518.25x = 13,952.63 × 13,952.63
  4. Step 4: Simplify right side
    9,518.25x = 194,675,744.39
  5. Step 5: Solve for x
    x = 194,675,744.39/9,518.25
  6. Step 6: Final answer
    x = 20,452.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.