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Finding the Third Proportional to 10,384.88 and 22,246.31

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Solution

The third proportional to 10,384.88 and 22,246.31 is: 47,655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.88 : 22,246.31 = 22,246.31 : x
  2. Step 2: Convert to fraction form
    10,384.88/22,246.31 = 22,246.31/x
  3. Step 3: Cross multiply
    10,384.88x = 22,246.31 × 22,246.31
  4. Step 4: Simplify right side
    10,384.88x = 494,898,419.85
  5. Step 5: Solve for x
    x = 494,898,419.85/10,384.88
  6. Step 6: Final answer
    x = 47,655.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.