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Finding the Third Proportional to 37,630 and 89,124

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Solution

The third proportional to 37,630 and 89,124 is: 211,083.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,630 : 89,124 = 89,124 : x
  2. Step 2: Convert to fraction form
    37,630/89,124 = 89,124/x
  3. Step 3: Cross multiply
    37,630x = 89,124 × 89,124
  4. Step 4: Simplify right side
    37,630x = 7,943,087,376
  5. Step 5: Solve for x
    x = 7,943,087,376/37,630
  6. Step 6: Final answer
    x = 211,083.91

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.