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Finding the Third Proportional to 4,326.75 and 10,184.06

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Solution

The third proportional to 4,326.75 and 10,184.06 is: 23,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.75 : 10,184.06 = 10,184.06 : x
  2. Step 2: Convert to fraction form
    4,326.75/10,184.06 = 10,184.06/x
  3. Step 3: Cross multiply
    4,326.75x = 10,184.06 × 10,184.06
  4. Step 4: Simplify right side
    4,326.75x = 103,715,129.00
  5. Step 5: Solve for x
    x = 103,715,129.00/4,326.75
  6. Step 6: Final answer
    x = 23,970.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.