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Finding the Third Proportional to 5.90 and 8.91

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Solution

The third proportional to 5.90 and 8.91 is: 13.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.90 : 8.91 = 8.91 : x
  2. Step 2: Convert to fraction form
    5.90/8.91 = 8.91/x
  3. Step 3: Cross multiply
    5.90x = 8.91 × 8.91
  4. Step 4: Simplify right side
    5.90x = 79.34
  5. Step 5: Solve for x
    x = 79.34/5.90
  6. Step 6: Final answer
    x = 13.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.