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Finding the Third Proportional to 28,827 and 59,089.50

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Solution

The third proportional to 28,827 and 59,089.50 is: 121,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,827 : 59,089.50 = 59,089.50 : x
  2. Step 2: Convert to fraction form
    28,827/59,089.50 = 59,089.50/x
  3. Step 3: Cross multiply
    28,827x = 59,089.50 × 59,089.50
  4. Step 4: Simplify right side
    28,827x = 3,491,569,010.25
  5. Step 5: Solve for x
    x = 3,491,569,010.25/28,827
  6. Step 6: Final answer
    x = 121,121.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.