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Finding the Third Proportional to 4.59 and 10.03

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Solution

The third proportional to 4.59 and 10.03 is: 21.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.59 : 10.03 = 10.03 : x
  2. Step 2: Convert to fraction form
    4.59/10.03 = 10.03/x
  3. Step 3: Cross multiply
    4.59x = 10.03 × 10.03
  4. Step 4: Simplify right side
    4.59x = 100.63
  5. Step 5: Solve for x
    x = 100.63/4.59
  6. Step 6: Final answer
    x = 21.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.