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Finding the Third Proportional to 44,801 and 65,904

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Solution

The third proportional to 44,801 and 65,904 is: 96,947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,801 : 65,904 = 65,904 : x
  2. Step 2: Convert to fraction form
    44,801/65,904 = 65,904/x
  3. Step 3: Cross multiply
    44,801x = 65,904 × 65,904
  4. Step 4: Simplify right side
    44,801x = 4,343,337,216
  5. Step 5: Solve for x
    x = 4,343,337,216/44,801
  6. Step 6: Final answer
    x = 96,947.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.