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Finding the Third Proportional to 31,616 and 46,122

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Solution

The third proportional to 31,616 and 46,122 is: 67,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,616 : 46,122 = 46,122 : x
  2. Step 2: Convert to fraction form
    31,616/46,122 = 46,122/x
  3. Step 3: Cross multiply
    31,616x = 46,122 × 46,122
  4. Step 4: Simplify right side
    31,616x = 2,127,238,884
  5. Step 5: Solve for x
    x = 2,127,238,884/31,616
  6. Step 6: Final answer
    x = 67,283.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.