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Finding the Third Proportional to 22,816 and 26,240

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Solution

The third proportional to 22,816 and 26,240 is: 30,177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816 : 26,240 = 26,240 : x
  2. Step 2: Convert to fraction form
    22,816/26,240 = 26,240/x
  3. Step 3: Cross multiply
    22,816x = 26,240 × 26,240
  4. Step 4: Simplify right side
    22,816x = 688,537,600
  5. Step 5: Solve for x
    x = 688,537,600/22,816
  6. Step 6: Final answer
    x = 30,177.84

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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.