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Finding the Third Proportional to 46,704 and 62,927

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Solution

The third proportional to 46,704 and 62,927 is: 84,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,704 : 62,927 = 62,927 : x
  2. Step 2: Convert to fraction form
    46,704/62,927 = 62,927/x
  3. Step 3: Cross multiply
    46,704x = 62,927 × 62,927
  4. Step 4: Simplify right side
    46,704x = 3,959,807,329
  5. Step 5: Solve for x
    x = 3,959,807,329/46,704
  6. Step 6: Final answer
    x = 84,785.19

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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.