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Finding the Third Proportional to 9,568.13 and 13,974.19

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Solution

The third proportional to 9,568.13 and 13,974.19 is: 20,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.13 : 13,974.19 = 13,974.19 : x
  2. Step 2: Convert to fraction form
    9,568.13/13,974.19 = 13,974.19/x
  3. Step 3: Cross multiply
    9,568.13x = 13,974.19 × 13,974.19
  4. Step 4: Simplify right side
    9,568.13x = 195,277,916.29
  5. Step 5: Solve for x
    x = 195,277,916.29/9,568.13
  6. Step 6: Final answer
    x = 20,409.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.