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Finding the Third Proportional to 12,126.38 and 26,024.63

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Solution

The third proportional to 12,126.38 and 26,024.63 is: 55,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.38 : 26,024.63 = 26,024.63 : x
  2. Step 2: Convert to fraction form
    12,126.38/26,024.63 = 26,024.63/x
  3. Step 3: Cross multiply
    12,126.38x = 26,024.63 × 26,024.63
  4. Step 4: Simplify right side
    12,126.38x = 677,281,106.39
  5. Step 5: Solve for x
    x = 677,281,106.39/12,126.38
  6. Step 6: Final answer
    x = 55,851.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.