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Finding the Third Proportional to 8,123.63 and 20,854.13

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Solution

The third proportional to 8,123.63 and 20,854.13 is: 53,534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.63 : 20,854.13 = 20,854.13 : x
  2. Step 2: Convert to fraction form
    8,123.63/20,854.13 = 20,854.13/x
  3. Step 3: Cross multiply
    8,123.63x = 20,854.13 × 20,854.13
  4. Step 4: Simplify right side
    8,123.63x = 434,894,529.52
  5. Step 5: Solve for x
    x = 434,894,529.52/8,123.63
  6. Step 6: Final answer
    x = 53,534.54

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.