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Finding the Third Proportional to 40,689 and 64,725.75

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Solution

The third proportional to 40,689 and 64,725.75 is: 102,962.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,689 : 64,725.75 = 64,725.75 : x
  2. Step 2: Convert to fraction form
    40,689/64,725.75 = 64,725.75/x
  3. Step 3: Cross multiply
    40,689x = 64,725.75 × 64,725.75
  4. Step 4: Simplify right side
    40,689x = 4,189,422,713.06
  5. Step 5: Solve for x
    x = 4,189,422,713.06/40,689
  6. Step 6: Final answer
    x = 102,962.05

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.