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Finding the Third Proportional to 37,046 and 79,883

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Solution

The third proportional to 37,046 and 79,883 is: 172,253.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,046 : 79,883 = 79,883 : x
  2. Step 2: Convert to fraction form
    37,046/79,883 = 79,883/x
  3. Step 3: Cross multiply
    37,046x = 79,883 × 79,883
  4. Step 4: Simplify right side
    37,046x = 6,381,293,689
  5. Step 5: Solve for x
    x = 6,381,293,689/37,046
  6. Step 6: Final answer
    x = 172,253.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.