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Finding the Third Proportional to 13,545 and 29,296.13

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Solution

The third proportional to 13,545 and 29,296.13 is: 63,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545 : 29,296.13 = 29,296.13 : x
  2. Step 2: Convert to fraction form
    13,545/29,296.13 = 29,296.13/x
  3. Step 3: Cross multiply
    13,545x = 29,296.13 × 29,296.13
  4. Step 4: Simplify right side
    13,545x = 858,262,940.02
  5. Step 5: Solve for x
    x = 858,262,940.02/13,545
  6. Step 6: Final answer
    x = 63,363.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.