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Finding the Third Proportional to 5,259.94 and 11,509.73

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Solution

The third proportional to 5,259.94 and 11,509.73 is: 25,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.94 : 11,509.73 = 11,509.73 : x
  2. Step 2: Convert to fraction form
    5,259.94/11,509.73 = 11,509.73/x
  3. Step 3: Cross multiply
    5,259.94x = 11,509.73 × 11,509.73
  4. Step 4: Simplify right side
    5,259.94x = 132,473,985.38
  5. Step 5: Solve for x
    x = 132,473,985.38/5,259.94
  6. Step 6: Final answer
    x = 25,185.47

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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.