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Finding the Third Proportional to 31,230 and 45,143

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Solution

The third proportional to 31,230 and 45,143 is: 65,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,230 : 45,143 = 45,143 : x
  2. Step 2: Convert to fraction form
    31,230/45,143 = 45,143/x
  3. Step 3: Cross multiply
    31,230x = 45,143 × 45,143
  4. Step 4: Simplify right side
    31,230x = 2,037,890,449
  5. Step 5: Solve for x
    x = 2,037,890,449/31,230
  6. Step 6: Final answer
    x = 65,254.26

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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.