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Finding the Third Proportional to 49.13 and 70.19

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Solution

The third proportional to 49.13 and 70.19 is: 100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.13 : 70.19 = 70.19 : x
  2. Step 2: Convert to fraction form
    49.13/70.19 = 70.19/x
  3. Step 3: Cross multiply
    49.13x = 70.19 × 70.19
  4. Step 4: Simplify right side
    49.13x = 4,926.29
  5. Step 5: Solve for x
    x = 4,926.29/49.13
  6. Step 6: Final answer
    x = 100.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.