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Finding the Third Proportional to 13,887 and 21,505.50

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Solution

The third proportional to 13,887 and 21,505.50 is: 33,303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887 : 21,505.50 = 21,505.50 : x
  2. Step 2: Convert to fraction form
    13,887/21,505.50 = 21,505.50/x
  3. Step 3: Cross multiply
    13,887x = 21,505.50 × 21,505.50
  4. Step 4: Simplify right side
    13,887x = 462,486,530.25
  5. Step 5: Solve for x
    x = 462,486,530.25/13,887
  6. Step 6: Final answer
    x = 33,303.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.