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Finding the Third Proportional to 49,032 and 69,046

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Solution

The third proportional to 49,032 and 69,046 is: 97,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,032 : 69,046 = 69,046 : x
  2. Step 2: Convert to fraction form
    49,032/69,046 = 69,046/x
  3. Step 3: Cross multiply
    49,032x = 69,046 × 69,046
  4. Step 4: Simplify right side
    49,032x = 4,767,350,116
  5. Step 5: Solve for x
    x = 4,767,350,116/49,032
  6. Step 6: Final answer
    x = 97,229.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.