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Finding the Third Proportional to 4.55 and 10.00

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Solution

The third proportional to 4.55 and 10.00 is: 21.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.55 : 10.00 = 10.00 : x
  2. Step 2: Convert to fraction form
    4.55/10.00 = 10.00/x
  3. Step 3: Cross multiply
    4.55x = 10.00 × 10.00
  4. Step 4: Simplify right side
    4.55x = 100.00
  5. Step 5: Solve for x
    x = 100.00/4.55
  6. Step 6: Final answer
    x = 21.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.