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Finding the Third Proportional to 952.25 and 1,521.25

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Solution

The third proportional to 952.25 and 1,521.25 is: 2,430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.25 : 1,521.25 = 1,521.25 : x
  2. Step 2: Convert to fraction form
    952.25/1,521.25 = 1,521.25/x
  3. Step 3: Cross multiply
    952.25x = 1,521.25 × 1,521.25
  4. Step 4: Simplify right side
    952.25x = 2,314,201.56
  5. Step 5: Solve for x
    x = 2,314,201.56/952.25
  6. Step 6: Final answer
    x = 2,430.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.