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Finding the Third Proportional to 12.34 and 26.10

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Solution

The third proportional to 12.34 and 26.10 is: 55.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.34 : 26.10 = 26.10 : x
  2. Step 2: Convert to fraction form
    12.34/26.10 = 26.10/x
  3. Step 3: Cross multiply
    12.34x = 26.10 × 26.10
  4. Step 4: Simplify right side
    12.34x = 681.39
  5. Step 5: Solve for x
    x = 681.39/12.34
  6. Step 6: Final answer
    x = 55.22

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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.