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Finding the Third Proportional to 28,311 and 59,374.50

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Solution

The third proportional to 28,311 and 59,374.50 is: 124,521.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,311 : 59,374.50 = 59,374.50 : x
  2. Step 2: Convert to fraction form
    28,311/59,374.50 = 59,374.50/x
  3. Step 3: Cross multiply
    28,311x = 59,374.50 × 59,374.50
  4. Step 4: Simplify right side
    28,311x = 3,525,331,250.25
  5. Step 5: Solve for x
    x = 3,525,331,250.25/28,311
  6. Step 6: Final answer
    x = 124,521.61

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.