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Finding the Third Proportional to 27,232.88 and 37,501.31

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Solution

The third proportional to 27,232.88 and 37,501.31 is: 51,641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,232.88 : 37,501.31 = 37,501.31 : x
  2. Step 2: Convert to fraction form
    27,232.88/37,501.31 = 37,501.31/x
  3. Step 3: Cross multiply
    27,232.88x = 37,501.31 × 37,501.31
  4. Step 4: Simplify right side
    27,232.88x = 1,406,348,439.22
  5. Step 5: Solve for x
    x = 1,406,348,439.22/27,232.88
  6. Step 6: Final answer
    x = 51,641.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.