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Finding the Third Proportional to 0.99 and 1.60

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Solution

The third proportional to 0.99 and 1.60 is: 2.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.99 : 1.60 = 1.60 : x
  2. Step 2: Convert to fraction form
    0.99/1.60 = 1.60/x
  3. Step 3: Cross multiply
    0.99x = 1.60 × 1.60
  4. Step 4: Simplify right side
    0.99x = 2.55
  5. Step 5: Solve for x
    x = 2.55/0.99
  6. Step 6: Final answer
    x = 2.58

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.