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Finding the Third Proportional to 21,522.38 and 45,649.83

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Solution

The third proportional to 21,522.38 and 45,649.83 is: 96,825.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522.38 : 45,649.83 = 45,649.83 : x
  2. Step 2: Convert to fraction form
    21,522.38/45,649.83 = 45,649.83/x
  3. Step 3: Cross multiply
    21,522.38x = 45,649.83 × 45,649.83
  4. Step 4: Simplify right side
    21,522.38x = 2,083,906,807.84
  5. Step 5: Solve for x
    x = 2,083,906,807.84/21,522.38
  6. Step 6: Final answer
    x = 96,825.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.