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Finding the Third Proportional to 30,946 and 45,096

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Solution

The third proportional to 30,946 and 45,096 is: 65,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946 : 45,096 = 45,096 : x
  2. Step 2: Convert to fraction form
    30,946/45,096 = 45,096/x
  3. Step 3: Cross multiply
    30,946x = 45,096 × 45,096
  4. Step 4: Simplify right side
    30,946x = 2,033,649,216
  5. Step 5: Solve for x
    x = 2,033,649,216/30,946
  6. Step 6: Final answer
    x = 65,716.06

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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.