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Finding the Third Proportional to 46,674 and 62,883

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Solution

The third proportional to 46,674 and 62,883 is: 84,721.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,674 : 62,883 = 62,883 : x
  2. Step 2: Convert to fraction form
    46,674/62,883 = 62,883/x
  3. Step 3: Cross multiply
    46,674x = 62,883 × 62,883
  4. Step 4: Simplify right side
    46,674x = 3,954,271,689
  5. Step 5: Solve for x
    x = 3,954,271,689/46,674
  6. Step 6: Final answer
    x = 84,721.08

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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.