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Finding the Third Proportional to 12,532.22 and 26,097.82

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Solution

The third proportional to 12,532.22 and 26,097.82 is: 54,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.22 : 26,097.82 = 26,097.82 : x
  2. Step 2: Convert to fraction form
    12,532.22/26,097.82 = 26,097.82/x
  3. Step 3: Cross multiply
    12,532.22x = 26,097.82 × 26,097.82
  4. Step 4: Simplify right side
    12,532.22x = 681,096,225.06
  5. Step 5: Solve for x
    x = 681,096,225.06/12,532.22
  6. Step 6: Final answer
    x = 54,347.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.