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Finding the Third Proportional to 29,896.59 and 64,721.53

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Solution

The third proportional to 29,896.59 and 64,721.53 is: 140,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,896.59 : 64,721.53 = 64,721.53 : x
  2. Step 2: Convert to fraction form
    29,896.59/64,721.53 = 64,721.53/x
  3. Step 3: Cross multiply
    29,896.59x = 64,721.53 × 64,721.53
  4. Step 4: Simplify right side
    29,896.59x = 4,188,876,607.34
  5. Step 5: Solve for x
    x = 4,188,876,607.34/29,896.59
  6. Step 6: Final answer
    x = 140,112.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.