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Finding the Third Proportional to 11,988 and 25,346.25

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Solution

The third proportional to 11,988 and 25,346.25 is: 53,589.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,988 : 25,346.25 = 25,346.25 : x
  2. Step 2: Convert to fraction form
    11,988/25,346.25 = 25,346.25/x
  3. Step 3: Cross multiply
    11,988x = 25,346.25 × 25,346.25
  4. Step 4: Simplify right side
    11,988x = 642,432,389.06
  5. Step 5: Solve for x
    x = 642,432,389.06/11,988
  6. Step 6: Final answer
    x = 53,589.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.