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Finding the Third Proportional to 12,372.75 and 26,797.50

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Solution

The third proportional to 12,372.75 and 26,797.50 is: 58,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,372.75 : 26,797.50 = 26,797.50 : x
  2. Step 2: Convert to fraction form
    12,372.75/26,797.50 = 26,797.50/x
  3. Step 3: Cross multiply
    12,372.75x = 26,797.50 × 26,797.50
  4. Step 4: Simplify right side
    12,372.75x = 718,106,006.25
  5. Step 5: Solve for x
    x = 718,106,006.25/12,372.75
  6. Step 6: Final answer
    x = 58,039.32

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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.