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Finding the Third Proportional to 23.52 and 37.23

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Solution

The third proportional to 23.52 and 37.23 is: 58.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.52 : 37.23 = 37.23 : x
  2. Step 2: Convert to fraction form
    23.52/37.23 = 37.23/x
  3. Step 3: Cross multiply
    23.52x = 37.23 × 37.23
  4. Step 4: Simplify right side
    23.52x = 1,386.11
  5. Step 5: Solve for x
    x = 1,386.11/23.52
  6. Step 6: Final answer
    x = 58.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.