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Finding the Third Proportional to 37,841.25 and 56,762.25

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Solution

The third proportional to 37,841.25 and 56,762.25 is: 85,143.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,841.25 : 56,762.25 = 56,762.25 : x
  2. Step 2: Convert to fraction form
    37,841.25/56,762.25 = 56,762.25/x
  3. Step 3: Cross multiply
    37,841.25x = 56,762.25 × 56,762.25
  4. Step 4: Simplify right side
    37,841.25x = 3,221,953,025.06
  5. Step 5: Solve for x
    x = 3,221,953,025.06/37,841.25
  6. Step 6: Final answer
    x = 85,143.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.