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Finding the Third Proportional to 5,689.62 and 12,421.48

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Solution

The third proportional to 5,689.62 and 12,421.48 is: 27,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.62 : 12,421.48 = 12,421.48 : x
  2. Step 2: Convert to fraction form
    5,689.62/12,421.48 = 12,421.48/x
  3. Step 3: Cross multiply
    5,689.62x = 12,421.48 × 12,421.48
  4. Step 4: Simplify right side
    5,689.62x = 154,293,079.99
  5. Step 5: Solve for x
    x = 154,293,079.99/5,689.62
  6. Step 6: Final answer
    x = 27,118.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.