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Finding the Third Proportional to 46,678 and 62,889

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Solution

The third proportional to 46,678 and 62,889 is: 84,729.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,678 : 62,889 = 62,889 : x
  2. Step 2: Convert to fraction form
    46,678/62,889 = 62,889/x
  3. Step 3: Cross multiply
    46,678x = 62,889 × 62,889
  4. Step 4: Simplify right side
    46,678x = 3,955,026,321
  5. Step 5: Solve for x
    x = 3,955,026,321/46,678
  6. Step 6: Final answer
    x = 84,729.99

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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.