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Finding the Third Proportional to 4.19 and 6.58

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Solution

The third proportional to 4.19 and 6.58 is: 10.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.19 : 6.58 = 6.58 : x
  2. Step 2: Convert to fraction form
    4.19/6.58 = 6.58/x
  3. Step 3: Cross multiply
    4.19x = 6.58 × 6.58
  4. Step 4: Simplify right side
    4.19x = 43.34
  5. Step 5: Solve for x
    x = 43.34/4.19
  6. Step 6: Final answer
    x = 10.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.