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Finding the Third Proportional to 13,698.49 and 29,513.11

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Solution

The third proportional to 13,698.49 and 29,513.11 is: 63,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.49 : 29,513.11 = 29,513.11 : x
  2. Step 2: Convert to fraction form
    13,698.49/29,513.11 = 29,513.11/x
  3. Step 3: Cross multiply
    13,698.49x = 29,513.11 × 29,513.11
  4. Step 4: Simplify right side
    13,698.49x = 871,023,624.98
  5. Step 5: Solve for x
    x = 871,023,624.98/13,698.49
  6. Step 6: Final answer
    x = 63,585.36

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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.