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Finding the Third Proportional to 13,985.44 and 27,262.13

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Solution

The third proportional to 13,985.44 and 27,262.13 is: 53,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.44 : 27,262.13 = 27,262.13 : x
  2. Step 2: Convert to fraction form
    13,985.44/27,262.13 = 27,262.13/x
  3. Step 3: Cross multiply
    13,985.44x = 27,262.13 × 27,262.13
  4. Step 4: Simplify right side
    13,985.44x = 743,223,459.52
  5. Step 5: Solve for x
    x = 743,223,459.52/13,985.44
  6. Step 6: Final answer
    x = 53,142.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.