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Finding the Third Proportional to 5,960.25 and 13,088.25

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Solution

The third proportional to 5,960.25 and 13,088.25 is: 28,740.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.25 : 13,088.25 = 13,088.25 : x
  2. Step 2: Convert to fraction form
    5,960.25/13,088.25 = 13,088.25/x
  3. Step 3: Cross multiply
    5,960.25x = 13,088.25 × 13,088.25
  4. Step 4: Simplify right side
    5,960.25x = 171,302,288.06
  5. Step 5: Solve for x
    x = 171,302,288.06/5,960.25
  6. Step 6: Final answer
    x = 28,740.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.