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Finding the Third Proportional to 12,200.25 and 17,835

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Solution

The third proportional to 12,200.25 and 17,835 is: 26,072.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.25 : 17,835 = 17,835 : x
  2. Step 2: Convert to fraction form
    12,200.25/17,835 = 17,835/x
  3. Step 3: Cross multiply
    12,200.25x = 17,835 × 17,835
  4. Step 4: Simplify right side
    12,200.25x = 318,087,225
  5. Step 5: Solve for x
    x = 318,087,225/12,200.25
  6. Step 6: Final answer
    x = 26,072.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.