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Finding the Third Proportional to 8,646.75 and 13,461.19

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Solution

The third proportional to 8,646.75 and 13,461.19 is: 20,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.75 : 13,461.19 = 13,461.19 : x
  2. Step 2: Convert to fraction form
    8,646.75/13,461.19 = 13,461.19/x
  3. Step 3: Cross multiply
    8,646.75x = 13,461.19 × 13,461.19
  4. Step 4: Simplify right side
    8,646.75x = 181,203,568.91
  5. Step 5: Solve for x
    x = 181,203,568.91/8,646.75
  6. Step 6: Final answer
    x = 20,956.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.