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Finding the Third Proportional to 37,243 and 57,705

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Solution

The third proportional to 37,243 and 57,705 is: 89,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,243 : 57,705 = 57,705 : x
  2. Step 2: Convert to fraction form
    37,243/57,705 = 57,705/x
  3. Step 3: Cross multiply
    37,243x = 57,705 × 57,705
  4. Step 4: Simplify right side
    37,243x = 3,329,867,025
  5. Step 5: Solve for x
    x = 3,329,867,025/37,243
  6. Step 6: Final answer
    x = 89,409.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.