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Finding the Third Proportional to 30 and 64.69

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Solution

The third proportional to 30 and 64.69 is: 139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30 : 64.69 = 64.69 : x
  2. Step 2: Convert to fraction form
    30/64.69 = 64.69/x
  3. Step 3: Cross multiply
    30x = 64.69 × 64.69
  4. Step 4: Simplify right side
    30x = 4,184.47
  5. Step 5: Solve for x
    x = 4,184.47/30
  6. Step 6: Final answer
    x = 139.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.