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Finding the Third Proportional to 4.56 and 6.50

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Solution

The third proportional to 4.56 and 6.50 is: 9.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.56 : 6.50 = 6.50 : x
  2. Step 2: Convert to fraction form
    4.56/6.50 = 6.50/x
  3. Step 3: Cross multiply
    4.56x = 6.50 × 6.50
  4. Step 4: Simplify right side
    4.56x = 42.25
  5. Step 5: Solve for x
    x = 42.25/4.56
  6. Step 6: Final answer
    x = 9.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.