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Finding the Third Proportional to 38,972.50 and 55,733.75

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Solution

The third proportional to 38,972.50 and 55,733.75 is: 79,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,972.50 : 55,733.75 = 55,733.75 : x
  2. Step 2: Convert to fraction form
    38,972.50/55,733.75 = 55,733.75/x
  3. Step 3: Cross multiply
    38,972.50x = 55,733.75 × 55,733.75
  4. Step 4: Simplify right side
    38,972.50x = 3,106,250,889.06
  5. Step 5: Solve for x
    x = 3,106,250,889.06/38,972.50
  6. Step 6: Final answer
    x = 79,703.66

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.