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Finding the Third Proportional to 20,644.88 and 22,847.06

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Solution

The third proportional to 20,644.88 and 22,847.06 is: 25,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,644.88 : 22,847.06 = 22,847.06 : x
  2. Step 2: Convert to fraction form
    20,644.88/22,847.06 = 22,847.06/x
  3. Step 3: Cross multiply
    20,644.88x = 22,847.06 × 22,847.06
  4. Step 4: Simplify right side
    20,644.88x = 521,988,264.88
  5. Step 5: Solve for x
    x = 521,988,264.88/20,644.88
  6. Step 6: Final answer
    x = 25,284.16

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.