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Finding the Third Proportional to 31,016 and 45,180

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Solution

The third proportional to 31,016 and 45,180 is: 65,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,016 : 45,180 = 45,180 : x
  2. Step 2: Convert to fraction form
    31,016/45,180 = 45,180/x
  3. Step 3: Cross multiply
    31,016x = 45,180 × 45,180
  4. Step 4: Simplify right side
    31,016x = 2,041,232,400
  5. Step 5: Solve for x
    x = 2,041,232,400/31,016
  6. Step 6: Final answer
    x = 65,812.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.