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Finding the Third Proportional to 15,380 and 20,194.50

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Solution

The third proportional to 15,380 and 20,194.50 is: 26,516.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,380 : 20,194.50 = 20,194.50 : x
  2. Step 2: Convert to fraction form
    15,380/20,194.50 = 20,194.50/x
  3. Step 3: Cross multiply
    15,380x = 20,194.50 × 20,194.50
  4. Step 4: Simplify right side
    15,380x = 407,817,830.25
  5. Step 5: Solve for x
    x = 407,817,830.25/15,380
  6. Step 6: Final answer
    x = 26,516.11

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.