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Finding the Third Proportional to 2,278 and 4,905

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Solution

The third proportional to 2,278 and 4,905 is: 10,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278 : 4,905 = 4,905 : x
  2. Step 2: Convert to fraction form
    2,278/4,905 = 4,905/x
  3. Step 3: Cross multiply
    2,278x = 4,905 × 4,905
  4. Step 4: Simplify right side
    2,278x = 24,059,025
  5. Step 5: Solve for x
    x = 24,059,025/2,278
  6. Step 6: Final answer
    x = 10,561.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.