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Finding the Third Proportional to 10,221.19 and 22,276.27

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Solution

The third proportional to 10,221.19 and 22,276.27 is: 48,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.19 : 22,276.27 = 22,276.27 : x
  2. Step 2: Convert to fraction form
    10,221.19/22,276.27 = 22,276.27/x
  3. Step 3: Cross multiply
    10,221.19x = 22,276.27 × 22,276.27
  4. Step 4: Simplify right side
    10,221.19x = 496,232,010.20
  5. Step 5: Solve for x
    x = 496,232,010.20/10,221.19
  6. Step 6: Final answer
    x = 48,549.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.