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Finding the Third Proportional to 1.52 and 2.07

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Solution

The third proportional to 1.52 and 2.07 is: 2.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.52 : 2.07 = 2.07 : x
  2. Step 2: Convert to fraction form
    1.52/2.07 = 2.07/x
  3. Step 3: Cross multiply
    1.52x = 2.07 × 2.07
  4. Step 4: Simplify right side
    1.52x = 4.27
  5. Step 5: Solve for x
    x = 4.27/1.52
  6. Step 6: Final answer
    x = 2.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.