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Finding the Third Proportional to 2,354 and 4,948

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Solution

The third proportional to 2,354 and 4,948 is: 10,400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354 : 4,948 = 4,948 : x
  2. Step 2: Convert to fraction form
    2,354/4,948 = 4,948/x
  3. Step 3: Cross multiply
    2,354x = 4,948 × 4,948
  4. Step 4: Simplify right side
    2,354x = 24,482,704
  5. Step 5: Solve for x
    x = 24,482,704/2,354
  6. Step 6: Final answer
    x = 10,400.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.