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Finding the Third Proportional to 4,103 and 8,854

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Solution

The third proportional to 4,103 and 8,854 is: 19,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103 : 8,854 = 8,854 : x
  2. Step 2: Convert to fraction form
    4,103/8,854 = 8,854/x
  3. Step 3: Cross multiply
    4,103x = 8,854 × 8,854
  4. Step 4: Simplify right side
    4,103x = 78,393,316
  5. Step 5: Solve for x
    x = 78,393,316/4,103
  6. Step 6: Final answer
    x = 19,106.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.