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Finding the Third Proportional to 37,507.50 and 56,662.88

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Solution

The third proportional to 37,507.50 and 56,662.88 is: 85,601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,507.50 : 56,662.88 = 56,662.88 : x
  2. Step 2: Convert to fraction form
    37,507.50/56,662.88 = 56,662.88/x
  3. Step 3: Cross multiply
    37,507.50x = 56,662.88 × 56,662.88
  4. Step 4: Simplify right side
    37,507.50x = 3,210,681,403.27
  5. Step 5: Solve for x
    x = 3,210,681,403.27/37,507.50
  6. Step 6: Final answer
    x = 85,601.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.