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Finding the Third Proportional to 1.86 and 4.07

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Solution

The third proportional to 1.86 and 4.07 is: 8.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.86 : 4.07 = 4.07 : x
  2. Step 2: Convert to fraction form
    1.86/4.07 = 4.07/x
  3. Step 3: Cross multiply
    1.86x = 4.07 × 4.07
  4. Step 4: Simplify right side
    1.86x = 16.60
  5. Step 5: Solve for x
    x = 16.60/1.86
  6. Step 6: Final answer
    x = 8.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.