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Finding the Third Proportional to 9,417.38 and 14,247.56

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Solution

The third proportional to 9,417.38 and 14,247.56 is: 21,555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.38 : 14,247.56 = 14,247.56 : x
  2. Step 2: Convert to fraction form
    9,417.38/14,247.56 = 14,247.56/x
  3. Step 3: Cross multiply
    9,417.38x = 14,247.56 × 14,247.56
  4. Step 4: Simplify right side
    9,417.38x = 202,993,037.19
  5. Step 5: Solve for x
    x = 202,993,037.19/9,417.38
  6. Step 6: Final answer
    x = 21,555.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.