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Finding the Third Proportional to 65 and 96.50

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Solution

The third proportional to 65 and 96.50 is: 143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65 : 96.50 = 96.50 : x
  2. Step 2: Convert to fraction form
    65/96.50 = 96.50/x
  3. Step 3: Cross multiply
    65x = 96.50 × 96.50
  4. Step 4: Simplify right side
    65x = 9,312.25
  5. Step 5: Solve for x
    x = 9,312.25/65
  6. Step 6: Final answer
    x = 143.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.