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Finding the Third Proportional to 12,901.78 and 21,296.67

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Solution

The third proportional to 12,901.78 and 21,296.67 is: 35,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.78 : 21,296.67 = 21,296.67 : x
  2. Step 2: Convert to fraction form
    12,901.78/21,296.67 = 21,296.67/x
  3. Step 3: Cross multiply
    12,901.78x = 21,296.67 × 21,296.67
  4. Step 4: Simplify right side
    12,901.78x = 453,548,232.95
  5. Step 5: Solve for x
    x = 453,548,232.95/12,901.78
  6. Step 6: Final answer
    x = 35,153.92

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.