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Finding the Third Proportional to 12,038.63 and 17,951.63

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Solution

The third proportional to 12,038.63 and 17,951.63 is: 26,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.63 : 17,951.63 = 17,951.63 : x
  2. Step 2: Convert to fraction form
    12,038.63/17,951.63 = 17,951.63/x
  3. Step 3: Cross multiply
    12,038.63x = 17,951.63 × 17,951.63
  4. Step 4: Simplify right side
    12,038.63x = 322,260,840.14
  5. Step 5: Solve for x
    x = 322,260,840.14/12,038.63
  6. Step 6: Final answer
    x = 26,768.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.