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Finding the Third Proportional to 5.58 and 13.15

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Solution

The third proportional to 5.58 and 13.15 is: 31.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.58 : 13.15 = 13.15 : x
  2. Step 2: Convert to fraction form
    5.58/13.15 = 13.15/x
  3. Step 3: Cross multiply
    5.58x = 13.15 × 13.15
  4. Step 4: Simplify right side
    5.58x = 172.84
  5. Step 5: Solve for x
    x = 172.84/5.58
  6. Step 6: Final answer
    x = 31.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.