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Finding the Third Proportional to 4,123.83 and 8,041.36

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Solution

The third proportional to 4,123.83 and 8,041.36 is: 15,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.83 : 8,041.36 = 8,041.36 : x
  2. Step 2: Convert to fraction form
    4,123.83/8,041.36 = 8,041.36/x
  3. Step 3: Cross multiply
    4,123.83x = 8,041.36 × 8,041.36
  4. Step 4: Simplify right side
    4,123.83x = 64,663,460.60
  5. Step 5: Solve for x
    x = 64,663,460.60/4,123.83
  6. Step 6: Final answer
    x = 15,680.45

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.