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Finding the Third Proportional to 37,189.13 and 56,659.50

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Solution

The third proportional to 37,189.13 and 56,659.50 is: 86,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,189.13 : 56,659.50 = 56,659.50 : x
  2. Step 2: Convert to fraction form
    37,189.13/56,659.50 = 56,659.50/x
  3. Step 3: Cross multiply
    37,189.13x = 56,659.50 × 56,659.50
  4. Step 4: Simplify right side
    37,189.13x = 3,210,298,940.25
  5. Step 5: Solve for x
    x = 3,210,298,940.25/37,189.13
  6. Step 6: Final answer
    x = 86,323.59

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.