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Finding the Third Proportional to 11,609.16 and 25,436.53

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Solution

The third proportional to 11,609.16 and 25,436.53 is: 55,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.16 : 25,436.53 = 25,436.53 : x
  2. Step 2: Convert to fraction form
    11,609.16/25,436.53 = 25,436.53/x
  3. Step 3: Cross multiply
    11,609.16x = 25,436.53 × 25,436.53
  4. Step 4: Simplify right side
    11,609.16x = 647,017,122.03
  5. Step 5: Solve for x
    x = 647,017,122.03/11,609.16
  6. Step 6: Final answer
    x = 55,733.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.