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Finding the Third Proportional to 2,034 and 4,454

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Solution

The third proportional to 2,034 and 4,454 is: 9,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034 : 4,454 = 4,454 : x
  2. Step 2: Convert to fraction form
    2,034/4,454 = 4,454/x
  3. Step 3: Cross multiply
    2,034x = 4,454 × 4,454
  4. Step 4: Simplify right side
    2,034x = 19,838,116
  5. Step 5: Solve for x
    x = 19,838,116/2,034
  6. Step 6: Final answer
    x = 9,753.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.