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Finding the Third Proportional to 40,224.75 and 60,259.13

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Solution

The third proportional to 40,224.75 and 60,259.13 is: 90,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,224.75 : 60,259.13 = 60,259.13 : x
  2. Step 2: Convert to fraction form
    40,224.75/60,259.13 = 60,259.13/x
  3. Step 3: Cross multiply
    40,224.75x = 60,259.13 × 60,259.13
  4. Step 4: Simplify right side
    40,224.75x = 3,631,162,145.77
  5. Step 5: Solve for x
    x = 3,631,162,145.77/40,224.75
  6. Step 6: Final answer
    x = 90,271.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.