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Finding the Third Proportional to 13,159.13 and 19,554.75

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Solution

The third proportional to 13,159.13 and 19,554.75 is: 29,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.13 : 19,554.75 = 19,554.75 : x
  2. Step 2: Convert to fraction form
    13,159.13/19,554.75 = 19,554.75/x
  3. Step 3: Cross multiply
    13,159.13x = 19,554.75 × 19,554.75
  4. Step 4: Simplify right side
    13,159.13x = 382,388,247.56
  5. Step 5: Solve for x
    x = 382,388,247.56/13,159.13
  6. Step 6: Final answer
    x = 29,058.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.