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Finding the Third Proportional to 37,630 and 58,132

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Solution

The third proportional to 37,630 and 58,132 is: 89,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,630 : 58,132 = 58,132 : x
  2. Step 2: Convert to fraction form
    37,630/58,132 = 58,132/x
  3. Step 3: Cross multiply
    37,630x = 58,132 × 58,132
  4. Step 4: Simplify right side
    37,630x = 3,379,329,424
  5. Step 5: Solve for x
    x = 3,379,329,424/37,630
  6. Step 6: Final answer
    x = 89,804.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.