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Finding the Third Proportional to 28,706 and 41,924.50

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Solution

The third proportional to 28,706 and 41,924.50 is: 61,229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,706 : 41,924.50 = 41,924.50 : x
  2. Step 2: Convert to fraction form
    28,706/41,924.50 = 41,924.50/x
  3. Step 3: Cross multiply
    28,706x = 41,924.50 × 41,924.50
  4. Step 4: Simplify right side
    28,706x = 1,757,663,700.25
  5. Step 5: Solve for x
    x = 1,757,663,700.25/28,706
  6. Step 6: Final answer
    x = 61,229.84

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.