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Finding the Third Proportional to 37,603 and 83,612

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Solution

The third proportional to 37,603 and 83,612 is: 185,915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,603 : 83,612 = 83,612 : x
  2. Step 2: Convert to fraction form
    37,603/83,612 = 83,612/x
  3. Step 3: Cross multiply
    37,603x = 83,612 × 83,612
  4. Step 4: Simplify right side
    37,603x = 6,990,966,544
  5. Step 5: Solve for x
    x = 6,990,966,544/37,603
  6. Step 6: Final answer
    x = 185,915.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.