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Finding the Third Proportional to 44,274 and 65,784

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Solution

The third proportional to 44,274 and 65,784 is: 97,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,274 : 65,784 = 65,784 : x
  2. Step 2: Convert to fraction form
    44,274/65,784 = 65,784/x
  3. Step 3: Cross multiply
    44,274x = 65,784 × 65,784
  4. Step 4: Simplify right side
    44,274x = 4,327,534,656
  5. Step 5: Solve for x
    x = 4,327,534,656/44,274
  6. Step 6: Final answer
    x = 97,744.38

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