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Finding the Third Proportional to 10.16 and 22.10

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Solution

The third proportional to 10.16 and 22.10 is: 48.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.16 : 22.10 = 22.10 : x
  2. Step 2: Convert to fraction form
    10.16/22.10 = 22.10/x
  3. Step 3: Cross multiply
    10.16x = 22.10 × 22.10
  4. Step 4: Simplify right side
    10.16x = 488.21
  5. Step 5: Solve for x
    x = 488.21/10.16
  6. Step 6: Final answer
    x = 48.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.