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Finding the Third Proportional to 8,454 and 20,341.50

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Solution

The third proportional to 8,454 and 20,341.50 is: 48,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454 : 20,341.50 = 20,341.50 : x
  2. Step 2: Convert to fraction form
    8,454/20,341.50 = 20,341.50/x
  3. Step 3: Cross multiply
    8,454x = 20,341.50 × 20,341.50
  4. Step 4: Simplify right side
    8,454x = 413,776,622.25
  5. Step 5: Solve for x
    x = 413,776,622.25/8,454
  6. Step 6: Final answer
    x = 48,944.48

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.