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Finding the Third Proportional to 10,227.30 and 22,068.28

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Solution

The third proportional to 10,227.30 and 22,068.28 is: 47,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.30 : 22,068.28 = 22,068.28 : x
  2. Step 2: Convert to fraction form
    10,227.30/22,068.28 = 22,068.28/x
  3. Step 3: Cross multiply
    10,227.30x = 22,068.28 × 22,068.28
  4. Step 4: Simplify right side
    10,227.30x = 487,009,037.33
  5. Step 5: Solve for x
    x = 487,009,037.33/10,227.30
  6. Step 6: Final answer
    x = 47,618.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.