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Finding the Third Proportional to 37,790.50 and 56,488

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Solution

The third proportional to 37,790.50 and 56,488 is: 84,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,790.50 : 56,488 = 56,488 : x
  2. Step 2: Convert to fraction form
    37,790.50/56,488 = 56,488/x
  3. Step 3: Cross multiply
    37,790.50x = 56,488 × 56,488
  4. Step 4: Simplify right side
    37,790.50x = 3,190,894,144
  5. Step 5: Solve for x
    x = 3,190,894,144/37,790.50
  6. Step 6: Final answer
    x = 84,436.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.