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Finding the Third Proportional to 12,555 and 27,283.50

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Solution

The third proportional to 12,555 and 27,283.50 is: 59,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,555 : 27,283.50 = 27,283.50 : x
  2. Step 2: Convert to fraction form
    12,555/27,283.50 = 27,283.50/x
  3. Step 3: Cross multiply
    12,555x = 27,283.50 × 27,283.50
  4. Step 4: Simplify right side
    12,555x = 744,389,372.25
  5. Step 5: Solve for x
    x = 744,389,372.25/12,555
  6. Step 6: Final answer
    x = 59,290.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.