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Finding the Third Proportional to 40,374 and 93,825

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Solution

The third proportional to 40,374 and 93,825 is: 218,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,374 : 93,825 = 93,825 : x
  2. Step 2: Convert to fraction form
    40,374/93,825 = 93,825/x
  3. Step 3: Cross multiply
    40,374x = 93,825 × 93,825
  4. Step 4: Simplify right side
    40,374x = 8,803,130,625
  5. Step 5: Solve for x
    x = 8,803,130,625/40,374
  6. Step 6: Final answer
    x = 218,039.60

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.