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Finding the Third Proportional to 5.80 and 8.93

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Solution

The third proportional to 5.80 and 8.93 is: 13.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.80 : 8.93 = 8.93 : x
  2. Step 2: Convert to fraction form
    5.80/8.93 = 8.93/x
  3. Step 3: Cross multiply
    5.80x = 8.93 × 8.93
  4. Step 4: Simplify right side
    5.80x = 79.79
  5. Step 5: Solve for x
    x = 79.79/5.80
  6. Step 6: Final answer
    x = 13.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.