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Finding the Third Proportional to 3,225 and 7,574.25

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Solution

The third proportional to 3,225 and 7,574.25 is: 17,788.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225 : 7,574.25 = 7,574.25 : x
  2. Step 2: Convert to fraction form
    3,225/7,574.25 = 7,574.25/x
  3. Step 3: Cross multiply
    3,225x = 7,574.25 × 7,574.25
  4. Step 4: Simplify right side
    3,225x = 57,369,263.06
  5. Step 5: Solve for x
    x = 57,369,263.06/3,225
  6. Step 6: Final answer
    x = 17,788.92

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.