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Finding the Third Proportional to 46,930 and 69,087

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Solution

The third proportional to 46,930 and 69,087 is: 101,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,930 : 69,087 = 69,087 : x
  2. Step 2: Convert to fraction form
    46,930/69,087 = 69,087/x
  3. Step 3: Cross multiply
    46,930x = 69,087 × 69,087
  4. Step 4: Simplify right side
    46,930x = 4,773,013,569
  5. Step 5: Solve for x
    x = 4,773,013,569/46,930
  6. Step 6: Final answer
    x = 101,704.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.