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Finding the Third Proportional to 27.32 and 64.13

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Solution

The third proportional to 27.32 and 64.13 is: 150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.32 : 64.13 = 64.13 : x
  2. Step 2: Convert to fraction form
    27.32/64.13 = 64.13/x
  3. Step 3: Cross multiply
    27.32x = 64.13 × 64.13
  4. Step 4: Simplify right side
    27.32x = 4,113.14
  5. Step 5: Solve for x
    x = 4,113.14/27.32
  6. Step 6: Final answer
    x = 150.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.