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Finding the Third Proportional to 10.19 and 24.25

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Solution

The third proportional to 10.19 and 24.25 is: 57.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.19 : 24.25 = 24.25 : x
  2. Step 2: Convert to fraction form
    10.19/24.25 = 24.25/x
  3. Step 3: Cross multiply
    10.19x = 24.25 × 24.25
  4. Step 4: Simplify right side
    10.19x = 588.06
  5. Step 5: Solve for x
    x = 588.06/10.19
  6. Step 6: Final answer
    x = 57.72

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.