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Finding the Third Proportional to 1.09 and 1.57

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Solution

The third proportional to 1.09 and 1.57 is: 2.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.09 : 1.57 = 1.57 : x
  2. Step 2: Convert to fraction form
    1.09/1.57 = 1.57/x
  3. Step 3: Cross multiply
    1.09x = 1.57 × 1.57
  4. Step 4: Simplify right side
    1.09x = 2.48
  5. Step 5: Solve for x
    x = 2.48/1.09
  6. Step 6: Final answer
    x = 2.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.