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Finding the Third Proportional to 12,563 and 19,603

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Solution

The third proportional to 12,563 and 19,603 is: 30,588.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563 : 19,603 = 19,603 : x
  2. Step 2: Convert to fraction form
    12,563/19,603 = 19,603/x
  3. Step 3: Cross multiply
    12,563x = 19,603 × 19,603
  4. Step 4: Simplify right side
    12,563x = 384,277,609
  5. Step 5: Solve for x
    x = 384,277,609/12,563
  6. Step 6: Final answer
    x = 30,588.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.