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Finding the Third Proportional to 30,960 and 45,708

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Solution

The third proportional to 30,960 and 45,708 is: 67,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,960 : 45,708 = 45,708 : x
  2. Step 2: Convert to fraction form
    30,960/45,708 = 45,708/x
  3. Step 3: Cross multiply
    30,960x = 45,708 × 45,708
  4. Step 4: Simplify right side
    30,960x = 2,089,221,264
  5. Step 5: Solve for x
    x = 2,089,221,264/30,960
  6. Step 6: Final answer
    x = 67,481.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.