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Finding the Third Proportional to 13,360 and 30,972

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Solution

The third proportional to 13,360 and 30,972 is: 71,801.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,360 : 30,972 = 30,972 : x
  2. Step 2: Convert to fraction form
    13,360/30,972 = 30,972/x
  3. Step 3: Cross multiply
    13,360x = 30,972 × 30,972
  4. Step 4: Simplify right side
    13,360x = 959,264,784
  5. Step 5: Solve for x
    x = 959,264,784/13,360
  6. Step 6: Final answer
    x = 71,801.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.