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Finding the Third Proportional to 40,783 and 57,432

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Solution

The third proportional to 40,783 and 57,432 is: 80,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,783 : 57,432 = 57,432 : x
  2. Step 2: Convert to fraction form
    40,783/57,432 = 57,432/x
  3. Step 3: Cross multiply
    40,783x = 57,432 × 57,432
  4. Step 4: Simplify right side
    40,783x = 3,298,434,624
  5. Step 5: Solve for x
    x = 3,298,434,624/40,783
  6. Step 6: Final answer
    x = 80,877.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.