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Finding the Third Proportional to 44,906 and 65,382

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Solution

The third proportional to 44,906 and 65,382 is: 95,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,906 : 65,382 = 65,382 : x
  2. Step 2: Convert to fraction form
    44,906/65,382 = 65,382/x
  3. Step 3: Cross multiply
    44,906x = 65,382 × 65,382
  4. Step 4: Simplify right side
    44,906x = 4,274,805,924
  5. Step 5: Solve for x
    x = 4,274,805,924/44,906
  6. Step 6: Final answer
    x = 95,194.54

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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.