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Finding the Third Proportional to 10,328.34 and 21,267.98

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Solution

The third proportional to 10,328.34 and 21,267.98 is: 43,794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.34 : 21,267.98 = 21,267.98 : x
  2. Step 2: Convert to fraction form
    10,328.34/21,267.98 = 21,267.98/x
  3. Step 3: Cross multiply
    10,328.34x = 21,267.98 × 21,267.98
  4. Step 4: Simplify right side
    10,328.34x = 452,327,159.38
  5. Step 5: Solve for x
    x = 452,327,159.38/10,328.34
  6. Step 6: Final answer
    x = 43,794.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.