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Finding the Third Proportional to 2,257 and 4,778

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Solution

The third proportional to 2,257 and 4,778 is: 10,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257 : 4,778 = 4,778 : x
  2. Step 2: Convert to fraction form
    2,257/4,778 = 4,778/x
  3. Step 3: Cross multiply
    2,257x = 4,778 × 4,778
  4. Step 4: Simplify right side
    2,257x = 22,829,284
  5. Step 5: Solve for x
    x = 22,829,284/2,257
  6. Step 6: Final answer
    x = 10,114.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.