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Finding the Third Proportional to 13,287.50 and 20,284

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Solution

The third proportional to 13,287.50 and 20,284 is: 30,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,287.50 : 20,284 = 20,284 : x
  2. Step 2: Convert to fraction form
    13,287.50/20,284 = 20,284/x
  3. Step 3: Cross multiply
    13,287.50x = 20,284 × 20,284
  4. Step 4: Simplify right side
    13,287.50x = 411,440,656
  5. Step 5: Solve for x
    x = 411,440,656/13,287.50
  6. Step 6: Final answer
    x = 30,964.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.