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Finding the Third Proportional to 12,355.50 and 26,655

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Solution

The third proportional to 12,355.50 and 26,655 is: 57,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,355.50 : 26,655 = 26,655 : x
  2. Step 2: Convert to fraction form
    12,355.50/26,655 = 26,655/x
  3. Step 3: Cross multiply
    12,355.50x = 26,655 × 26,655
  4. Step 4: Simplify right side
    12,355.50x = 710,489,025
  5. Step 5: Solve for x
    x = 710,489,025/12,355.50
  6. Step 6: Final answer
    x = 57,503.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.