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Finding the Third Proportional to 51,492 and 76,584

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Solution

The third proportional to 51,492 and 76,584 is: 113,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,492 : 76,584 = 76,584 : x
  2. Step 2: Convert to fraction form
    51,492/76,584 = 76,584/x
  3. Step 3: Cross multiply
    51,492x = 76,584 × 76,584
  4. Step 4: Simplify right side
    51,492x = 5,865,109,056
  5. Step 5: Solve for x
    x = 5,865,109,056/51,492
  6. Step 6: Final answer
    x = 113,903.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.