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Finding the Third Proportional to 7,176.09 and 13,959.21

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Solution

The third proportional to 7,176.09 and 13,959.21 is: 27,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.09 : 13,959.21 = 13,959.21 : x
  2. Step 2: Convert to fraction form
    7,176.09/13,959.21 = 13,959.21/x
  3. Step 3: Cross multiply
    7,176.09x = 13,959.21 × 13,959.21
  4. Step 4: Simplify right side
    7,176.09x = 194,859,570.00
  5. Step 5: Solve for x
    x = 194,859,570.00/7,176.09
  6. Step 6: Final answer
    x = 27,153.99

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.