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Finding the Third Proportional to 29,673 and 42,896.25

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Solution

The third proportional to 29,673 and 42,896.25 is: 62,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,673 : 42,896.25 = 42,896.25 : x
  2. Step 2: Convert to fraction form
    29,673/42,896.25 = 42,896.25/x
  3. Step 3: Cross multiply
    29,673x = 42,896.25 × 42,896.25
  4. Step 4: Simplify right side
    29,673x = 1,840,088,264.06
  5. Step 5: Solve for x
    x = 1,840,088,264.06/29,673
  6. Step 6: Final answer
    x = 62,012.21

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.