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Finding the Third Proportional to 32.13 and 48.23

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Solution

The third proportional to 32.13 and 48.23 is: 72.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.13 : 48.23 = 48.23 : x
  2. Step 2: Convert to fraction form
    32.13/48.23 = 48.23/x
  3. Step 3: Cross multiply
    32.13x = 48.23 × 48.23
  4. Step 4: Simplify right side
    32.13x = 2,326.55
  5. Step 5: Solve for x
    x = 2,326.55/32.13
  6. Step 6: Final answer
    x = 72.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.