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Finding the Third Proportional to 13,679.51 and 29,469.76

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Solution

The third proportional to 13,679.51 and 29,469.76 is: 63,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.51 : 29,469.76 = 29,469.76 : x
  2. Step 2: Convert to fraction form
    13,679.51/29,469.76 = 29,469.76/x
  3. Step 3: Cross multiply
    13,679.51x = 29,469.76 × 29,469.76
  4. Step 4: Simplify right side
    13,679.51x = 868,466,855.76
  5. Step 5: Solve for x
    x = 868,466,855.76/13,679.51
  6. Step 6: Final answer
    x = 63,486.70

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