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Finding the Third Proportional to 43,764.75 and 62,492

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Solution

The third proportional to 43,764.75 and 62,492 is: 89,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,764.75 : 62,492 = 62,492 : x
  2. Step 2: Convert to fraction form
    43,764.75/62,492 = 62,492/x
  3. Step 3: Cross multiply
    43,764.75x = 62,492 × 62,492
  4. Step 4: Simplify right side
    43,764.75x = 3,905,250,064
  5. Step 5: Solve for x
    x = 3,905,250,064/43,764.75
  6. Step 6: Final answer
    x = 89,232.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.