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Finding the Third Proportional to 4,265 and 7,909

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Solution

The third proportional to 4,265 and 7,909 is: 14,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265 : 7,909 = 7,909 : x
  2. Step 2: Convert to fraction form
    4,265/7,909 = 7,909/x
  3. Step 3: Cross multiply
    4,265x = 7,909 × 7,909
  4. Step 4: Simplify right side
    4,265x = 62,552,281
  5. Step 5: Solve for x
    x = 62,552,281/4,265
  6. Step 6: Final answer
    x = 14,666.42

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.