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Finding the Third Proportional to 11,698.50 and 25,395.75

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Solution

The third proportional to 11,698.50 and 25,395.75 is: 55,130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.50 : 25,395.75 = 25,395.75 : x
  2. Step 2: Convert to fraction form
    11,698.50/25,395.75 = 25,395.75/x
  3. Step 3: Cross multiply
    11,698.50x = 25,395.75 × 25,395.75
  4. Step 4: Simplify right side
    11,698.50x = 644,944,118.06
  5. Step 5: Solve for x
    x = 644,944,118.06/11,698.50
  6. Step 6: Final answer
    x = 55,130.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.