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Finding the Third Proportional to 32,896.13 and 49,638.45

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Solution

The third proportional to 32,896.13 and 49,638.45 is: 74,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896.13 : 49,638.45 = 49,638.45 : x
  2. Step 2: Convert to fraction form
    32,896.13/49,638.45 = 49,638.45/x
  3. Step 3: Cross multiply
    32,896.13x = 49,638.45 × 49,638.45
  4. Step 4: Simplify right side
    32,896.13x = 2,463,975,253.04
  5. Step 5: Solve for x
    x = 2,463,975,253.04/32,896.13
  6. Step 6: Final answer
    x = 74,901.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.