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Finding the Third Proportional to 46,683 and 71,755

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Solution

The third proportional to 46,683 and 71,755 is: 110,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,683 : 71,755 = 71,755 : x
  2. Step 2: Convert to fraction form
    46,683/71,755 = 71,755/x
  3. Step 3: Cross multiply
    46,683x = 71,755 × 71,755
  4. Step 4: Simplify right side
    46,683x = 5,148,780,025
  5. Step 5: Solve for x
    x = 5,148,780,025/46,683
  6. Step 6: Final answer
    x = 110,292.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.