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Finding the Third Proportional to 31,228 and 42,222

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Solution

The third proportional to 31,228 and 42,222 is: 57,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,228 : 42,222 = 42,222 : x
  2. Step 2: Convert to fraction form
    31,228/42,222 = 42,222/x
  3. Step 3: Cross multiply
    31,228x = 42,222 × 42,222
  4. Step 4: Simplify right side
    31,228x = 1,782,697,284
  5. Step 5: Solve for x
    x = 1,782,697,284/31,228
  6. Step 6: Final answer
    x = 57,086.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.