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Finding the Third Proportional to 40,281.75 and 54,681.75

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Solution

The third proportional to 40,281.75 and 54,681.75 is: 74,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,281.75 : 54,681.75 = 54,681.75 : x
  2. Step 2: Convert to fraction form
    40,281.75/54,681.75 = 54,681.75/x
  3. Step 3: Cross multiply
    40,281.75x = 54,681.75 × 54,681.75
  4. Step 4: Simplify right side
    40,281.75x = 2,990,093,783.06
  5. Step 5: Solve for x
    x = 2,990,093,783.06/40,281.75
  6. Step 6: Final answer
    x = 74,229.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.