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Finding the Third Proportional to 37,840 and 81,454

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Solution

The third proportional to 37,840 and 81,454 is: 175,337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,840 : 81,454 = 81,454 : x
  2. Step 2: Convert to fraction form
    37,840/81,454 = 81,454/x
  3. Step 3: Cross multiply
    37,840x = 81,454 × 81,454
  4. Step 4: Simplify right side
    37,840x = 6,634,754,116
  5. Step 5: Solve for x
    x = 6,634,754,116/37,840
  6. Step 6: Final answer
    x = 175,337.05

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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.