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Finding the Third Proportional to 3,875.63 and 8,472.38

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Solution

The third proportional to 3,875.63 and 8,472.38 is: 18,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.63 : 8,472.38 = 8,472.38 : x
  2. Step 2: Convert to fraction form
    3,875.63/8,472.38 = 8,472.38/x
  3. Step 3: Cross multiply
    3,875.63x = 8,472.38 × 8,472.38
  4. Step 4: Simplify right side
    3,875.63x = 71,781,138.14
  5. Step 5: Solve for x
    x = 71,781,138.14/3,875.63
  6. Step 6: Final answer
    x = 18,521.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.