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Finding the Third Proportional to 13,911 and 29,800.50

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Solution

The third proportional to 13,911 and 29,800.50 is: 63,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911 : 29,800.50 = 29,800.50 : x
  2. Step 2: Convert to fraction form
    13,911/29,800.50 = 29,800.50/x
  3. Step 3: Cross multiply
    13,911x = 29,800.50 × 29,800.50
  4. Step 4: Simplify right side
    13,911x = 888,069,800.25
  5. Step 5: Solve for x
    x = 888,069,800.25/13,911
  6. Step 6: Final answer
    x = 63,839.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.