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Finding the Third Proportional to 12,603 and 16,618.50

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Solution

The third proportional to 12,603 and 16,618.50 is: 21,913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603 : 16,618.50 = 16,618.50 : x
  2. Step 2: Convert to fraction form
    12,603/16,618.50 = 16,618.50/x
  3. Step 3: Cross multiply
    12,603x = 16,618.50 × 16,618.50
  4. Step 4: Simplify right side
    12,603x = 276,174,542.25
  5. Step 5: Solve for x
    x = 276,174,542.25/12,603
  6. Step 6: Final answer
    x = 21,913.40

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.