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Finding the Third Proportional to 13,564.13 and 29,679.75

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Solution

The third proportional to 13,564.13 and 29,679.75 is: 64,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.13 : 29,679.75 = 29,679.75 : x
  2. Step 2: Convert to fraction form
    13,564.13/29,679.75 = 29,679.75/x
  3. Step 3: Cross multiply
    13,564.13x = 29,679.75 × 29,679.75
  4. Step 4: Simplify right side
    13,564.13x = 880,887,560.06
  5. Step 5: Solve for x
    x = 880,887,560.06/13,564.13
  6. Step 6: Final answer
    x = 64,942.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.