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Finding the Third Proportional to 22,021.88 and 46,929.38

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Solution

The third proportional to 22,021.88 and 46,929.38 is: 100,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,021.88 : 46,929.38 = 46,929.38 : x
  2. Step 2: Convert to fraction form
    22,021.88/46,929.38 = 46,929.38/x
  3. Step 3: Cross multiply
    22,021.88x = 46,929.38 × 46,929.38
  4. Step 4: Simplify right side
    22,021.88x = 2,202,366,237.89
  5. Step 5: Solve for x
    x = 2,202,366,237.89/22,021.88
  6. Step 6: Final answer
    x = 100,008.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.