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Finding the Third Proportional to 13,037.99 and 17,711.00

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Solution

The third proportional to 13,037.99 and 17,711.00 is: 24,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.99 : 17,711.00 = 17,711.00 : x
  2. Step 2: Convert to fraction form
    13,037.99/17,711.00 = 17,711.00/x
  3. Step 3: Cross multiply
    13,037.99x = 17,711.00 × 17,711.00
  4. Step 4: Simplify right side
    13,037.99x = 313,679,451.82
  5. Step 5: Solve for x
    x = 313,679,451.82/13,037.99
  6. Step 6: Final answer
    x = 24,058.87

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.