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Finding the Third Proportional to 13,830.75 and 29,499.19

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Solution

The third proportional to 13,830.75 and 29,499.19 is: 62,917.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.75 : 29,499.19 = 29,499.19 : x
  2. Step 2: Convert to fraction form
    13,830.75/29,499.19 = 29,499.19/x
  3. Step 3: Cross multiply
    13,830.75x = 29,499.19 × 29,499.19
  4. Step 4: Simplify right side
    13,830.75x = 870,202,063.16
  5. Step 5: Solve for x
    x = 870,202,063.16/13,830.75
  6. Step 6: Final answer
    x = 62,917.92

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.