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Finding the Third Proportional to 9,752.25 and 19,017.75

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Solution

The third proportional to 9,752.25 and 19,017.75 is: 37,086.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.25 : 19,017.75 = 19,017.75 : x
  2. Step 2: Convert to fraction form
    9,752.25/19,017.75 = 19,017.75/x
  3. Step 3: Cross multiply
    9,752.25x = 19,017.75 × 19,017.75
  4. Step 4: Simplify right side
    9,752.25x = 361,674,815.06
  5. Step 5: Solve for x
    x = 361,674,815.06/9,752.25
  6. Step 6: Final answer
    x = 37,086.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.