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Finding the Third Proportional to 5,229 and 12,100.50

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Solution

The third proportional to 5,229 and 12,100.50 is: 28,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229 : 12,100.50 = 12,100.50 : x
  2. Step 2: Convert to fraction form
    5,229/12,100.50 = 12,100.50/x
  3. Step 3: Cross multiply
    5,229x = 12,100.50 × 12,100.50
  4. Step 4: Simplify right side
    5,229x = 146,422,100.25
  5. Step 5: Solve for x
    x = 146,422,100.25/5,229
  6. Step 6: Final answer
    x = 28,001.93

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.