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Finding the Third Proportional to 5,901 and 12,875.25

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Solution

The third proportional to 5,901 and 12,875.25 is: 28,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901 : 12,875.25 = 12,875.25 : x
  2. Step 2: Convert to fraction form
    5,901/12,875.25 = 12,875.25/x
  3. Step 3: Cross multiply
    5,901x = 12,875.25 × 12,875.25
  4. Step 4: Simplify right side
    5,901x = 165,772,062.56
  5. Step 5: Solve for x
    x = 165,772,062.56/5,901
  6. Step 6: Final answer
    x = 28,092.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.