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Finding the Third Proportional to 1 and 1.53

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Solution

The third proportional to 1 and 1.53 is: 2.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1 : 1.53 = 1.53 : x
  2. Step 2: Convert to fraction form
    1/1.53 = 1.53/x
  3. Step 3: Cross multiply
    1x = 1.53 × 1.53
  4. Step 4: Simplify right side
    1x = 2.34
  5. Step 5: Solve for x
    x = 2.34/1
  6. Step 6: Final answer
    x = 2.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.