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Finding the Third Proportional to 8,368.31 and 13,461.19

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Solution

The third proportional to 8,368.31 and 13,461.19 is: 21,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,368.31 : 13,461.19 = 13,461.19 : x
  2. Step 2: Convert to fraction form
    8,368.31/13,461.19 = 13,461.19/x
  3. Step 3: Cross multiply
    8,368.31x = 13,461.19 × 13,461.19
  4. Step 4: Simplify right side
    8,368.31x = 181,203,568.91
  5. Step 5: Solve for x
    x = 181,203,568.91/8,368.31
  6. Step 6: Final answer
    x = 21,653.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.