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Finding the Third Proportional to 10,398.94 and 22,765.92

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Solution

The third proportional to 10,398.94 and 22,765.92 is: 49,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.94 : 22,765.92 = 22,765.92 : x
  2. Step 2: Convert to fraction form
    10,398.94/22,765.92 = 22,765.92/x
  3. Step 3: Cross multiply
    10,398.94x = 22,765.92 × 22,765.92
  4. Step 4: Simplify right side
    10,398.94x = 518,287,198.82
  5. Step 5: Solve for x
    x = 518,287,198.82/10,398.94
  6. Step 6: Final answer
    x = 49,840.40

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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.