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Finding the Third Proportional to 13,065 and 19,719

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Solution

The third proportional to 13,065 and 19,719 is: 29,761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065 : 19,719 = 19,719 : x
  2. Step 2: Convert to fraction form
    13,065/19,719 = 19,719/x
  3. Step 3: Cross multiply
    13,065x = 19,719 × 19,719
  4. Step 4: Simplify right side
    13,065x = 388,838,961
  5. Step 5: Solve for x
    x = 388,838,961/13,065
  6. Step 6: Final answer
    x = 29,761.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.