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Finding the Third Proportional to 0.98 and 1.45

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Solution

The third proportional to 0.98 and 1.45 is: 2.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.98 : 1.45 = 1.45 : x
  2. Step 2: Convert to fraction form
    0.98/1.45 = 1.45/x
  3. Step 3: Cross multiply
    0.98x = 1.45 × 1.45
  4. Step 4: Simplify right side
    0.98x = 2.11
  5. Step 5: Solve for x
    x = 2.11/0.98
  6. Step 6: Final answer
    x = 2.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.