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Finding the Third Proportional to 31,314 and 48,507

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Solution

The third proportional to 31,314 and 48,507 is: 75,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314 : 48,507 = 48,507 : x
  2. Step 2: Convert to fraction form
    31,314/48,507 = 48,507/x
  3. Step 3: Cross multiply
    31,314x = 48,507 × 48,507
  4. Step 4: Simplify right side
    31,314x = 2,352,929,049
  5. Step 5: Solve for x
    x = 2,352,929,049/31,314
  6. Step 6: Final answer
    x = 75,139.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.