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Finding the Third Proportional to 37,993 and 82,547

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Solution

The third proportional to 37,993 and 82,547 is: 179,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,993 : 82,547 = 82,547 : x
  2. Step 2: Convert to fraction form
    37,993/82,547 = 82,547/x
  3. Step 3: Cross multiply
    37,993x = 82,547 × 82,547
  4. Step 4: Simplify right side
    37,993x = 6,814,007,209
  5. Step 5: Solve for x
    x = 6,814,007,209/37,993
  6. Step 6: Final answer
    x = 179,349.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.