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Finding the Third Proportional to 46,746 and 62,982

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Solution

The third proportional to 46,746 and 62,982 is: 84,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,746 : 62,982 = 62,982 : x
  2. Step 2: Convert to fraction form
    46,746/62,982 = 62,982/x
  3. Step 3: Cross multiply
    46,746x = 62,982 × 62,982
  4. Step 4: Simplify right side
    46,746x = 3,966,732,324
  5. Step 5: Solve for x
    x = 3,966,732,324/46,746
  6. Step 6: Final answer
    x = 84,857.15

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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.