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Finding the Third Proportional to 5,497.75 and 12,965.13

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Solution

The third proportional to 5,497.75 and 12,965.13 is: 30,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.75 : 12,965.13 = 12,965.13 : x
  2. Step 2: Convert to fraction form
    5,497.75/12,965.13 = 12,965.13/x
  3. Step 3: Cross multiply
    5,497.75x = 12,965.13 × 12,965.13
  4. Step 4: Simplify right side
    5,497.75x = 168,094,466.27
  5. Step 5: Solve for x
    x = 168,094,466.27/5,497.75
  6. Step 6: Final answer
    x = 30,575.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.