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Finding the Third Proportional to 21,642.19 and 24,558.19

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Solution

The third proportional to 21,642.19 and 24,558.19 is: 27,867.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.19 : 24,558.19 = 24,558.19 : x
  2. Step 2: Convert to fraction form
    21,642.19/24,558.19 = 24,558.19/x
  3. Step 3: Cross multiply
    21,642.19x = 24,558.19 × 24,558.19
  4. Step 4: Simplify right side
    21,642.19x = 603,104,573.29
  5. Step 5: Solve for x
    x = 603,104,573.29/21,642.19
  6. Step 6: Final answer
    x = 27,867.08

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.