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Finding the Third Proportional to 22,596 and 26,004

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Solution

The third proportional to 22,596 and 26,004 is: 29,926.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596 : 26,004 = 26,004 : x
  2. Step 2: Convert to fraction form
    22,596/26,004 = 26,004/x
  3. Step 3: Cross multiply
    22,596x = 26,004 × 26,004
  4. Step 4: Simplify right side
    22,596x = 676,208,016
  5. Step 5: Solve for x
    x = 676,208,016/22,596
  6. Step 6: Final answer
    x = 29,926.01

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.