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Finding the Third Proportional to 13,365 and 27,112.50

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Solution

The third proportional to 13,365 and 27,112.50 is: 55,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365 : 27,112.50 = 27,112.50 : x
  2. Step 2: Convert to fraction form
    13,365/27,112.50 = 27,112.50/x
  3. Step 3: Cross multiply
    13,365x = 27,112.50 × 27,112.50
  4. Step 4: Simplify right side
    13,365x = 735,087,656.25
  5. Step 5: Solve for x
    x = 735,087,656.25/13,365
  6. Step 6: Final answer
    x = 55,000.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.