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Finding the Third Proportional to 10.59 and 22.43

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Solution

The third proportional to 10.59 and 22.43 is: 47.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.59 : 22.43 = 22.43 : x
  2. Step 2: Convert to fraction form
    10.59/22.43 = 22.43/x
  3. Step 3: Cross multiply
    10.59x = 22.43 × 22.43
  4. Step 4: Simplify right side
    10.59x = 503.09
  5. Step 5: Solve for x
    x = 503.09/10.59
  6. Step 6: Final answer
    x = 47.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.