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Finding the Third Proportional to 32 and 75.13

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Solution

The third proportional to 32 and 75.13 is: 176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32 : 75.13 = 75.13 : x
  2. Step 2: Convert to fraction form
    32/75.13 = 75.13/x
  3. Step 3: Cross multiply
    32x = 75.13 × 75.13
  4. Step 4: Simplify right side
    32x = 5,643.77
  5. Step 5: Solve for x
    x = 5,643.77/32
  6. Step 6: Final answer
    x = 176.37

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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.