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Finding the Third Proportional to 31,946 and 69,416

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Solution

The third proportional to 31,946 and 69,416 is: 150,835.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,946 : 69,416 = 69,416 : x
  2. Step 2: Convert to fraction form
    31,946/69,416 = 69,416/x
  3. Step 3: Cross multiply
    31,946x = 69,416 × 69,416
  4. Step 4: Simplify right side
    31,946x = 4,818,581,056
  5. Step 5: Solve for x
    x = 4,818,581,056/31,946
  6. Step 6: Final answer
    x = 150,835.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.