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Finding the Third Proportional to 15.88 and 22.93

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Solution

The third proportional to 15.88 and 22.93 is: 33.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.88 : 22.93 = 22.93 : x
  2. Step 2: Convert to fraction form
    15.88/22.93 = 22.93/x
  3. Step 3: Cross multiply
    15.88x = 22.93 × 22.93
  4. Step 4: Simplify right side
    15.88x = 525.77
  5. Step 5: Solve for x
    x = 525.77/15.88
  6. Step 6: Final answer
    x = 33.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.