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Finding the Third Proportional to 1.50 and 2.40

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Solution

The third proportional to 1.50 and 2.40 is: 3.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.50 : 2.40 = 2.40 : x
  2. Step 2: Convert to fraction form
    1.50/2.40 = 2.40/x
  3. Step 3: Cross multiply
    1.50x = 2.40 × 2.40
  4. Step 4: Simplify right side
    1.50x = 5.77
  5. Step 5: Solve for x
    x = 5.77/1.50
  6. Step 6: Final answer
    x = 3.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.