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Finding the Third Proportional to 12,207.50 and 26,652

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Solution

The third proportional to 12,207.50 and 26,652 is: 58,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.50 : 26,652 = 26,652 : x
  2. Step 2: Convert to fraction form
    12,207.50/26,652 = 26,652/x
  3. Step 3: Cross multiply
    12,207.50x = 26,652 × 26,652
  4. Step 4: Simplify right side
    12,207.50x = 710,329,104
  5. Step 5: Solve for x
    x = 710,329,104/12,207.50
  6. Step 6: Final answer
    x = 58,187.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.