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Finding the Third Proportional to 4,159.48 and 8,934.05

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Solution

The third proportional to 4,159.48 and 8,934.05 is: 19,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.48 : 8,934.05 = 8,934.05 : x
  2. Step 2: Convert to fraction form
    4,159.48/8,934.05 = 8,934.05/x
  3. Step 3: Cross multiply
    4,159.48x = 8,934.05 × 8,934.05
  4. Step 4: Simplify right side
    4,159.48x = 79,817,193.56
  5. Step 5: Solve for x
    x = 79,817,193.56/4,159.48
  6. Step 6: Final answer
    x = 19,189.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.