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Finding the Third Proportional to 20,141 and 22,206.50

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Solution

The third proportional to 20,141 and 22,206.50 is: 24,483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141 : 22,206.50 = 22,206.50 : x
  2. Step 2: Convert to fraction form
    20,141/22,206.50 = 22,206.50/x
  3. Step 3: Cross multiply
    20,141x = 22,206.50 × 22,206.50
  4. Step 4: Simplify right side
    20,141x = 493,128,642.25
  5. Step 5: Solve for x
    x = 493,128,642.25/20,141
  6. Step 6: Final answer
    x = 24,483.82

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.