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Finding the Third Proportional to 1.00 and 2.16

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Solution

The third proportional to 1.00 and 2.16 is: 4.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.00 : 2.16 = 2.16 : x
  2. Step 2: Convert to fraction form
    1.00/2.16 = 2.16/x
  3. Step 3: Cross multiply
    1.00x = 2.16 × 2.16
  4. Step 4: Simplify right side
    1.00x = 4.67
  5. Step 5: Solve for x
    x = 4.67/1.00
  6. Step 6: Final answer
    x = 4.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.