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Finding the Third Proportional to 27,754.31 and 42,322.50

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Solution

The third proportional to 27,754.31 and 42,322.50 is: 64,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,754.31 : 42,322.50 = 42,322.50 : x
  2. Step 2: Convert to fraction form
    27,754.31/42,322.50 = 42,322.50/x
  3. Step 3: Cross multiply
    27,754.31x = 42,322.50 × 42,322.50
  4. Step 4: Simplify right side
    27,754.31x = 1,791,194,006.25
  5. Step 5: Solve for x
    x = 1,791,194,006.25/27,754.31
  6. Step 6: Final answer
    x = 64,537.50

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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.