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Finding the Third Proportional to 37,916 and 81,646

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Solution

The third proportional to 37,916 and 81,646 is: 175,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,916 : 81,646 = 81,646 : x
  2. Step 2: Convert to fraction form
    37,916/81,646 = 81,646/x
  3. Step 3: Cross multiply
    37,916x = 81,646 × 81,646
  4. Step 4: Simplify right side
    37,916x = 6,666,069,316
  5. Step 5: Solve for x
    x = 6,666,069,316/37,916
  6. Step 6: Final answer
    x = 175,811.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.