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Finding the Third Proportional to 10.09 and 14.59

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Solution

The third proportional to 10.09 and 14.59 is: 21.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.09 : 14.59 = 14.59 : x
  2. Step 2: Convert to fraction form
    10.09/14.59 = 14.59/x
  3. Step 3: Cross multiply
    10.09x = 14.59 × 14.59
  4. Step 4: Simplify right side
    10.09x = 212.98
  5. Step 5: Solve for x
    x = 212.98/10.09
  6. Step 6: Final answer
    x = 21.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.