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Finding the Third Proportional to 32,923.50 and 49,672.50

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Solution

The third proportional to 32,923.50 and 49,672.50 is: 74,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,923.50 : 49,672.50 = 49,672.50 : x
  2. Step 2: Convert to fraction form
    32,923.50/49,672.50 = 49,672.50/x
  3. Step 3: Cross multiply
    32,923.50x = 49,672.50 × 49,672.50
  4. Step 4: Simplify right side
    32,923.50x = 2,467,357,256.25
  5. Step 5: Solve for x
    x = 2,467,357,256.25/32,923.50
  6. Step 6: Final answer
    x = 74,942.13

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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.