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Finding the Third Proportional to 14,423.06 and 21,826.97

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Solution

The third proportional to 14,423.06 and 21,826.97 is: 33,031.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.06 : 21,826.97 = 21,826.97 : x
  2. Step 2: Convert to fraction form
    14,423.06/21,826.97 = 21,826.97/x
  3. Step 3: Cross multiply
    14,423.06x = 21,826.97 × 21,826.97
  4. Step 4: Simplify right side
    14,423.06x = 476,416,564.81
  5. Step 5: Solve for x
    x = 476,416,564.81/14,423.06
  6. Step 6: Final answer
    x = 33,031.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.