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Finding the Third Proportional to 13,011.75 and 19,761.75

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Solution

The third proportional to 13,011.75 and 19,761.75 is: 30,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.75 : 19,761.75 = 19,761.75 : x
  2. Step 2: Convert to fraction form
    13,011.75/19,761.75 = 19,761.75/x
  3. Step 3: Cross multiply
    13,011.75x = 19,761.75 × 19,761.75
  4. Step 4: Simplify right side
    13,011.75x = 390,526,763.06
  5. Step 5: Solve for x
    x = 390,526,763.06/13,011.75
  6. Step 6: Final answer
    x = 30,013.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.