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Finding the Third Proportional to 30.53 and 64.69

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Solution

The third proportional to 30.53 and 64.69 is: 137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.53 : 64.69 = 64.69 : x
  2. Step 2: Convert to fraction form
    30.53/64.69 = 64.69/x
  3. Step 3: Cross multiply
    30.53x = 64.69 × 64.69
  4. Step 4: Simplify right side
    30.53x = 4,184.47
  5. Step 5: Solve for x
    x = 4,184.47/30.53
  6. Step 6: Final answer
    x = 137.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.