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Finding the Third Proportional to 46,684 and 68,020

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Solution

The third proportional to 46,684 and 68,020 is: 99,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,684 : 68,020 = 68,020 : x
  2. Step 2: Convert to fraction form
    46,684/68,020 = 68,020/x
  3. Step 3: Cross multiply
    46,684x = 68,020 × 68,020
  4. Step 4: Simplify right side
    46,684x = 4,626,720,400
  5. Step 5: Solve for x
    x = 4,626,720,400/46,684
  6. Step 6: Final answer
    x = 99,107.20

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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.