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Finding the Third Proportional to 5.21 and 7.46

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Solution

The third proportional to 5.21 and 7.46 is: 10.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.21 : 7.46 = 7.46 : x
  2. Step 2: Convert to fraction form
    5.21/7.46 = 7.46/x
  3. Step 3: Cross multiply
    5.21x = 7.46 × 7.46
  4. Step 4: Simplify right side
    5.21x = 55.71
  5. Step 5: Solve for x
    x = 55.71/5.21
  6. Step 6: Final answer
    x = 10.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.