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Finding the Third Proportional to 28,782 and 40,473

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Solution

The third proportional to 28,782 and 40,473 is: 56,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,782 : 40,473 = 40,473 : x
  2. Step 2: Convert to fraction form
    28,782/40,473 = 40,473/x
  3. Step 3: Cross multiply
    28,782x = 40,473 × 40,473
  4. Step 4: Simplify right side
    28,782x = 1,638,063,729
  5. Step 5: Solve for x
    x = 1,638,063,729/28,782
  6. Step 6: Final answer
    x = 56,912.78

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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.