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Finding the Third Proportional to 13,564.13 and 29,208.94

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Solution

The third proportional to 13,564.13 and 29,208.94 is: 62,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.13 : 29,208.94 = 29,208.94 : x
  2. Step 2: Convert to fraction form
    13,564.13/29,208.94 = 29,208.94/x
  3. Step 3: Cross multiply
    13,564.13x = 29,208.94 × 29,208.94
  4. Step 4: Simplify right side
    13,564.13x = 853,162,029.88
  5. Step 5: Solve for x
    x = 853,162,029.88/13,564.13
  6. Step 6: Final answer
    x = 62,898.42

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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.