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Finding the Third Proportional to 44,981 and 65,743

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Solution

The third proportional to 44,981 and 65,743 is: 96,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,981 : 65,743 = 65,743 : x
  2. Step 2: Convert to fraction form
    44,981/65,743 = 65,743/x
  3. Step 3: Cross multiply
    44,981x = 65,743 × 65,743
  4. Step 4: Simplify right side
    44,981x = 4,322,142,049
  5. Step 5: Solve for x
    x = 4,322,142,049/44,981
  6. Step 6: Final answer
    x = 96,088.17

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.