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Finding the Third Proportional to 44,407 and 65,934

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Solution

The third proportional to 44,407 and 65,934 is: 97,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,407 : 65,934 = 65,934 : x
  2. Step 2: Convert to fraction form
    44,407/65,934 = 65,934/x
  3. Step 3: Cross multiply
    44,407x = 65,934 × 65,934
  4. Step 4: Simplify right side
    44,407x = 4,347,292,356
  5. Step 5: Solve for x
    x = 4,347,292,356/44,407
  6. Step 6: Final answer
    x = 97,896.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.