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Finding the Third Proportional to 31,227 and 45,139.50

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Solution

The third proportional to 31,227 and 45,139.50 is: 65,250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,227 : 45,139.50 = 45,139.50 : x
  2. Step 2: Convert to fraction form
    31,227/45,139.50 = 45,139.50/x
  3. Step 3: Cross multiply
    31,227x = 45,139.50 × 45,139.50
  4. Step 4: Simplify right side
    31,227x = 2,037,574,460.25
  5. Step 5: Solve for x
    x = 2,037,574,460.25/31,227
  6. Step 6: Final answer
    x = 65,250.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.