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Finding the Third Proportional to 44,322.75 and 65,836.13

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Solution

The third proportional to 44,322.75 and 65,836.13 is: 97,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,322.75 : 65,836.13 = 65,836.13 : x
  2. Step 2: Convert to fraction form
    44,322.75/65,836.13 = 65,836.13/x
  3. Step 3: Cross multiply
    44,322.75x = 65,836.13 × 65,836.13
  4. Step 4: Simplify right side
    44,322.75x = 4,334,395,355.02
  5. Step 5: Solve for x
    x = 4,334,395,355.02/44,322.75
  6. Step 6: Final answer
    x = 97,791.66

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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.