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Finding the Third Proportional to 4,328.25 and 9,468.75

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Solution

The third proportional to 4,328.25 and 9,468.75 is: 20,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.25 : 9,468.75 = 9,468.75 : x
  2. Step 2: Convert to fraction form
    4,328.25/9,468.75 = 9,468.75/x
  3. Step 3: Cross multiply
    4,328.25x = 9,468.75 × 9,468.75
  4. Step 4: Simplify right side
    4,328.25x = 89,657,226.56
  5. Step 5: Solve for x
    x = 89,657,226.56/4,328.25
  6. Step 6: Final answer
    x = 20,714.43

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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.