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Finding the Third Proportional to 11,964.50 and 26,306

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Solution

The third proportional to 11,964.50 and 26,306 is: 57,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.50 : 26,306 = 26,306 : x
  2. Step 2: Convert to fraction form
    11,964.50/26,306 = 26,306/x
  3. Step 3: Cross multiply
    11,964.50x = 26,306 × 26,306
  4. Step 4: Simplify right side
    11,964.50x = 692,005,636
  5. Step 5: Solve for x
    x = 692,005,636/11,964.50
  6. Step 6: Final answer
    x = 57,838.24

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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.