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Finding the Third Proportional to 44,562 and 61,284

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Solution

The third proportional to 44,562 and 61,284 is: 84,280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,562 : 61,284 = 61,284 : x
  2. Step 2: Convert to fraction form
    44,562/61,284 = 61,284/x
  3. Step 3: Cross multiply
    44,562x = 61,284 × 61,284
  4. Step 4: Simplify right side
    44,562x = 3,755,728,656
  5. Step 5: Solve for x
    x = 3,755,728,656/44,562
  6. Step 6: Final answer
    x = 84,280.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.