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Finding the Third Proportional to 2.10 and 4.58

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Solution

The third proportional to 2.10 and 4.58 is: 9.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.10 : 4.58 = 4.58 : x
  2. Step 2: Convert to fraction form
    2.10/4.58 = 4.58/x
  3. Step 3: Cross multiply
    2.10x = 4.58 × 4.58
  4. Step 4: Simplify right side
    2.10x = 20.98
  5. Step 5: Solve for x
    x = 20.98/2.10
  6. Step 6: Final answer
    x = 9.98

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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.