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Finding the Third Proportional to 44,325 and 65,838

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Solution

The third proportional to 44,325 and 65,838 is: 97,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,325 : 65,838 = 65,838 : x
  2. Step 2: Convert to fraction form
    44,325/65,838 = 65,838/x
  3. Step 3: Cross multiply
    44,325x = 65,838 × 65,838
  4. Step 4: Simplify right side
    44,325x = 4,334,642,244
  5. Step 5: Solve for x
    x = 4,334,642,244/44,325
  6. Step 6: Final answer
    x = 97,792.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.