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Finding the Third Proportional to 12,570.47 and 18,638.25

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Solution

The third proportional to 12,570.47 and 18,638.25 is: 27,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.47 : 18,638.25 = 18,638.25 : x
  2. Step 2: Convert to fraction form
    12,570.47/18,638.25 = 18,638.25/x
  3. Step 3: Cross multiply
    12,570.47x = 18,638.25 × 18,638.25
  4. Step 4: Simplify right side
    12,570.47x = 347,384,363.06
  5. Step 5: Solve for x
    x = 347,384,363.06/12,570.47
  6. Step 6: Final answer
    x = 27,634.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.