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Finding the Third Proportional to 12,160.13 and 17,328.94

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Solution

The third proportional to 12,160.13 and 17,328.94 is: 24,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.13 : 17,328.94 = 17,328.94 : x
  2. Step 2: Convert to fraction form
    12,160.13/17,328.94 = 17,328.94/x
  3. Step 3: Cross multiply
    12,160.13x = 17,328.94 × 17,328.94
  4. Step 4: Simplify right side
    12,160.13x = 300,292,074.88
  5. Step 5: Solve for x
    x = 300,292,074.88/12,160.13
  6. Step 6: Final answer
    x = 24,694.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.