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Finding the Third Proportional to 22,278 and 48,426

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Solution

The third proportional to 22,278 and 48,426 is: 105,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,278 : 48,426 = 48,426 : x
  2. Step 2: Convert to fraction form
    22,278/48,426 = 48,426/x
  3. Step 3: Cross multiply
    22,278x = 48,426 × 48,426
  4. Step 4: Simplify right side
    22,278x = 2,345,077,476
  5. Step 5: Solve for x
    x = 2,345,077,476/22,278
  6. Step 6: Final answer
    x = 105,264.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.