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Finding the Third Proportional to 37,567.88 and 56,234.63

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Solution

The third proportional to 37,567.88 and 56,234.63 is: 84,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,567.88 : 56,234.63 = 56,234.63 : x
  2. Step 2: Convert to fraction form
    37,567.88/56,234.63 = 56,234.63/x
  3. Step 3: Cross multiply
    37,567.88x = 56,234.63 × 56,234.63
  4. Step 4: Simplify right side
    37,567.88x = 3,162,333,048.89
  5. Step 5: Solve for x
    x = 3,162,333,048.89/37,567.88
  6. Step 6: Final answer
    x = 84,176.52

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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.