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Finding the Third Proportional to 9.75 and 24.19

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Solution

The third proportional to 9.75 and 24.19 is: 60.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.75 : 24.19 = 24.19 : x
  2. Step 2: Convert to fraction form
    9.75/24.19 = 24.19/x
  3. Step 3: Cross multiply
    9.75x = 24.19 × 24.19
  4. Step 4: Simplify right side
    9.75x = 585.04
  5. Step 5: Solve for x
    x = 585.04/9.75
  6. Step 6: Final answer
    x = 60.00

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.