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Finding the Third Proportional to 9,279 and 13,916.25

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Solution

The third proportional to 9,279 and 13,916.25 is: 20,871.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279 : 13,916.25 = 13,916.25 : x
  2. Step 2: Convert to fraction form
    9,279/13,916.25 = 13,916.25/x
  3. Step 3: Cross multiply
    9,279x = 13,916.25 × 13,916.25
  4. Step 4: Simplify right side
    9,279x = 193,662,014.06
  5. Step 5: Solve for x
    x = 193,662,014.06/9,279
  6. Step 6: Final answer
    x = 20,871.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.