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Finding the Third Proportional to 31,454 and 48,273

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Solution

The third proportional to 31,454 and 48,273 is: 74,085.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,454 : 48,273 = 48,273 : x
  2. Step 2: Convert to fraction form
    31,454/48,273 = 48,273/x
  3. Step 3: Cross multiply
    31,454x = 48,273 × 48,273
  4. Step 4: Simplify right side
    31,454x = 2,330,282,529
  5. Step 5: Solve for x
    x = 2,330,282,529/31,454
  6. Step 6: Final answer
    x = 74,085.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.