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Finding the Third Proportional to 10.41 and 15.70

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Solution

The third proportional to 10.41 and 15.70 is: 23.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.41 : 15.70 = 15.70 : x
  2. Step 2: Convert to fraction form
    10.41/15.70 = 15.70/x
  3. Step 3: Cross multiply
    10.41x = 15.70 × 15.70
  4. Step 4: Simplify right side
    10.41x = 246.59
  5. Step 5: Solve for x
    x = 246.59/10.41
  6. Step 6: Final answer
    x = 23.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.