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Finding the Third Proportional to 64 and 70

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Solution

The third proportional to 64 and 70 is: 76.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64 : 70 = 70 : x
  2. Step 2: Convert to fraction form
    64/70 = 70/x
  3. Step 3: Cross multiply
    64x = 70 × 70
  4. Step 4: Simplify right side
    64x = 4,900
  5. Step 5: Solve for x
    x = 4,900/64
  6. Step 6: Final answer
    x = 76.56

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.