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Finding the Third Proportional to 10,468.13 and 22,815.28

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Solution

The third proportional to 10,468.13 and 22,815.28 is: 49,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.13 : 22,815.28 = 22,815.28 : x
  2. Step 2: Convert to fraction form
    10,468.13/22,815.28 = 22,815.28/x
  3. Step 3: Cross multiply
    10,468.13x = 22,815.28 × 22,815.28
  4. Step 4: Simplify right side
    10,468.13x = 520,537,058.52
  5. Step 5: Solve for x
    x = 520,537,058.52/10,468.13
  6. Step 6: Final answer
    x = 49,725.91

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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.