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Finding the Third Proportional to 13,857.75 and 21,497.06

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Solution

The third proportional to 13,857.75 and 21,497.06 is: 33,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.75 : 21,497.06 = 21,497.06 : x
  2. Step 2: Convert to fraction form
    13,857.75/21,497.06 = 21,497.06/x
  3. Step 3: Cross multiply
    13,857.75x = 21,497.06 × 21,497.06
  4. Step 4: Simplify right side
    13,857.75x = 462,123,696.13
  5. Step 5: Solve for x
    x = 462,123,696.13/13,857.75
  6. Step 6: Final answer
    x = 33,347.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.