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Finding the Third Proportional to 31,076 and 48,454

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Solution

The third proportional to 31,076 and 48,454 is: 75,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076 : 48,454 = 48,454 : x
  2. Step 2: Convert to fraction form
    31,076/48,454 = 48,454/x
  3. Step 3: Cross multiply
    31,076x = 48,454 × 48,454
  4. Step 4: Simplify right side
    31,076x = 2,347,790,116
  5. Step 5: Solve for x
    x = 2,347,790,116/31,076
  6. Step 6: Final answer
    x = 75,549.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.