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Finding the Third Proportional to 46,706 and 62,930

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Solution

The third proportional to 46,706 and 62,930 is: 84,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,706 : 62,930 = 62,930 : x
  2. Step 2: Convert to fraction form
    46,706/62,930 = 62,930/x
  3. Step 3: Cross multiply
    46,706x = 62,930 × 62,930
  4. Step 4: Simplify right side
    46,706x = 3,960,184,900
  5. Step 5: Solve for x
    x = 3,960,184,900/46,706
  6. Step 6: Final answer
    x = 84,789.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.