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Finding the Third Proportional to 14,889 and 20,275.50

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Solution

The third proportional to 14,889 and 20,275.50 is: 27,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,889 : 20,275.50 = 20,275.50 : x
  2. Step 2: Convert to fraction form
    14,889/20,275.50 = 20,275.50/x
  3. Step 3: Cross multiply
    14,889x = 20,275.50 × 20,275.50
  4. Step 4: Simplify right side
    14,889x = 411,095,900.25
  5. Step 5: Solve for x
    x = 411,095,900.25/14,889
  6. Step 6: Final answer
    x = 27,610.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.