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Finding the Third Proportional to 28,045.50 and 59,256

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Solution

The third proportional to 28,045.50 and 59,256 is: 125,199.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,045.50 : 59,256 = 59,256 : x
  2. Step 2: Convert to fraction form
    28,045.50/59,256 = 59,256/x
  3. Step 3: Cross multiply
    28,045.50x = 59,256 × 59,256
  4. Step 4: Simplify right side
    28,045.50x = 3,511,273,536
  5. Step 5: Solve for x
    x = 3,511,273,536/28,045.50
  6. Step 6: Final answer
    x = 125,199.18

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.