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Finding the Third Proportional to 49.08 and 70.03

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Solution

The third proportional to 49.08 and 70.03 is: 99.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.08 : 70.03 = 70.03 : x
  2. Step 2: Convert to fraction form
    49.08/70.03 = 70.03/x
  3. Step 3: Cross multiply
    49.08x = 70.03 × 70.03
  4. Step 4: Simplify right side
    49.08x = 4,904.38
  5. Step 5: Solve for x
    x = 4,904.38/49.08
  6. Step 6: Final answer
    x = 99.93

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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.