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Finding the Third Proportional to 12,852.50 and 27,887

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Solution

The third proportional to 12,852.50 and 27,887 is: 60,508.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.50 : 27,887 = 27,887 : x
  2. Step 2: Convert to fraction form
    12,852.50/27,887 = 27,887/x
  3. Step 3: Cross multiply
    12,852.50x = 27,887 × 27,887
  4. Step 4: Simplify right side
    12,852.50x = 777,684,769
  5. Step 5: Solve for x
    x = 777,684,769/12,852.50
  6. Step 6: Final answer
    x = 60,508.44

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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.