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Finding the Third Proportional to 20,409 and 43,264.50

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Solution

The third proportional to 20,409 and 43,264.50 is: 91,715.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409 : 43,264.50 = 43,264.50 : x
  2. Step 2: Convert to fraction form
    20,409/43,264.50 = 43,264.50/x
  3. Step 3: Cross multiply
    20,409x = 43,264.50 × 43,264.50
  4. Step 4: Simplify right side
    20,409x = 1,871,816,960.25
  5. Step 5: Solve for x
    x = 1,871,816,960.25/20,409
  6. Step 6: Final answer
    x = 91,715.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.