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Finding the Third Proportional to 12.70 and 27.45

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Solution

The third proportional to 12.70 and 27.45 is: 59.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.70 : 27.45 = 27.45 : x
  2. Step 2: Convert to fraction form
    12.70/27.45 = 27.45/x
  3. Step 3: Cross multiply
    12.70x = 27.45 × 27.45
  4. Step 4: Simplify right side
    12.70x = 753.25
  5. Step 5: Solve for x
    x = 753.25/12.70
  6. Step 6: Final answer
    x = 59.30

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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.