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Finding the Third Proportional to 21.14 and 45.66

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Solution

The third proportional to 21.14 and 45.66 is: 98.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.14 : 45.66 = 45.66 : x
  2. Step 2: Convert to fraction form
    21.14/45.66 = 45.66/x
  3. Step 3: Cross multiply
    21.14x = 45.66 × 45.66
  4. Step 4: Simplify right side
    21.14x = 2,084.49
  5. Step 5: Solve for x
    x = 2,084.49/21.14
  6. Step 6: Final answer
    x = 98.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.