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Finding the Third Proportional to 9.70 and 23.63

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Solution

The third proportional to 9.70 and 23.63 is: 57.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.70 : 23.63 = 23.63 : x
  2. Step 2: Convert to fraction form
    9.70/23.63 = 23.63/x
  3. Step 3: Cross multiply
    9.70x = 23.63 × 23.63
  4. Step 4: Simplify right side
    9.70x = 558.14
  5. Step 5: Solve for x
    x = 558.14/9.70
  6. Step 6: Final answer
    x = 57.52

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.