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Finding the Third Proportional to 10.16 and 23.36

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Solution

The third proportional to 10.16 and 23.36 is: 53.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.16 : 23.36 = 23.36 : x
  2. Step 2: Convert to fraction form
    10.16/23.36 = 23.36/x
  3. Step 3: Cross multiply
    10.16x = 23.36 × 23.36
  4. Step 4: Simplify right side
    10.16x = 545.81
  5. Step 5: Solve for x
    x = 545.81/10.16
  6. Step 6: Final answer
    x = 53.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.