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Finding the Third Proportional to 14,867 and 20,386.50

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Solution

The third proportional to 14,867 and 20,386.50 is: 27,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,867 : 20,386.50 = 20,386.50 : x
  2. Step 2: Convert to fraction form
    14,867/20,386.50 = 20,386.50/x
  3. Step 3: Cross multiply
    14,867x = 20,386.50 × 20,386.50
  4. Step 4: Simplify right side
    14,867x = 415,609,382.25
  5. Step 5: Solve for x
    x = 415,609,382.25/14,867
  6. Step 6: Final answer
    x = 27,955.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.