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Finding the Third Proportional to 37,614 and 79,454

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Solution

The third proportional to 37,614 and 79,454 is: 167,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,614 : 79,454 = 79,454 : x
  2. Step 2: Convert to fraction form
    37,614/79,454 = 79,454/x
  3. Step 3: Cross multiply
    37,614x = 79,454 × 79,454
  4. Step 4: Simplify right side
    37,614x = 6,312,938,116
  5. Step 5: Solve for x
    x = 6,312,938,116/37,614
  6. Step 6: Final answer
    x = 167,834.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.