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Finding the Third Proportional to 11,596 and 25,261

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Solution

The third proportional to 11,596 and 25,261 is: 55,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596 : 25,261 = 25,261 : x
  2. Step 2: Convert to fraction form
    11,596/25,261 = 25,261/x
  3. Step 3: Cross multiply
    11,596x = 25,261 × 25,261
  4. Step 4: Simplify right side
    11,596x = 638,118,121
  5. Step 5: Solve for x
    x = 638,118,121/11,596
  6. Step 6: Final answer
    x = 55,029.16

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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.