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Finding the Third Proportional to 13,716.84 and 29,480.20

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Solution

The third proportional to 13,716.84 and 29,480.20 is: 63,358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.84 : 29,480.20 = 29,480.20 : x
  2. Step 2: Convert to fraction form
    13,716.84/29,480.20 = 29,480.20/x
  3. Step 3: Cross multiply
    13,716.84x = 29,480.20 × 29,480.20
  4. Step 4: Simplify right side
    13,716.84x = 869,082,376.29
  5. Step 5: Solve for x
    x = 869,082,376.29/13,716.84
  6. Step 6: Final answer
    x = 63,358.77

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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.