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Finding the Third Proportional to 13,407 and 31,170.75

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Solution

The third proportional to 13,407 and 31,170.75 is: 72,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407 : 31,170.75 = 31,170.75 : x
  2. Step 2: Convert to fraction form
    13,407/31,170.75 = 31,170.75/x
  3. Step 3: Cross multiply
    13,407x = 31,170.75 × 31,170.75
  4. Step 4: Simplify right side
    13,407x = 971,615,655.56
  5. Step 5: Solve for x
    x = 971,615,655.56/13,407
  6. Step 6: Final answer
    x = 72,470.77

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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.