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Finding the Third Proportional to 11,345 and 16,692.50

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Solution

The third proportional to 11,345 and 16,692.50 is: 24,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345 : 16,692.50 = 16,692.50 : x
  2. Step 2: Convert to fraction form
    11,345/16,692.50 = 16,692.50/x
  3. Step 3: Cross multiply
    11,345x = 16,692.50 × 16,692.50
  4. Step 4: Simplify right side
    11,345x = 278,639,556.25
  5. Step 5: Solve for x
    x = 278,639,556.25/11,345
  6. Step 6: Final answer
    x = 24,560.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.