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Finding the Third Proportional to 37,331 and 57,804

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Solution

The third proportional to 37,331 and 57,804 is: 89,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,331 : 57,804 = 57,804 : x
  2. Step 2: Convert to fraction form
    37,331/57,804 = 57,804/x
  3. Step 3: Cross multiply
    37,331x = 57,804 × 57,804
  4. Step 4: Simplify right side
    37,331x = 3,341,302,416
  5. Step 5: Solve for x
    x = 3,341,302,416/37,331
  6. Step 6: Final answer
    x = 89,504.77

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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.