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Finding the Third Proportional to 23,022.50 and 50,209

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Solution

The third proportional to 23,022.50 and 50,209 is: 109,499.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,022.50 : 50,209 = 50,209 : x
  2. Step 2: Convert to fraction form
    23,022.50/50,209 = 50,209/x
  3. Step 3: Cross multiply
    23,022.50x = 50,209 × 50,209
  4. Step 4: Simplify right side
    23,022.50x = 2,520,943,681
  5. Step 5: Solve for x
    x = 2,520,943,681/23,022.50
  6. Step 6: Final answer
    x = 109,499.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.