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Finding the Third Proportional to 9.73 and 15.07

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Solution

The third proportional to 9.73 and 15.07 is: 23.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.73 : 15.07 = 15.07 : x
  2. Step 2: Convert to fraction form
    9.73/15.07 = 15.07/x
  3. Step 3: Cross multiply
    9.73x = 15.07 × 15.07
  4. Step 4: Simplify right side
    9.73x = 227.07
  5. Step 5: Solve for x
    x = 227.07/9.73
  6. Step 6: Final answer
    x = 23.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.