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Finding the Third Proportional to 6,938 and 15,256.50

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Solution

The third proportional to 6,938 and 15,256.50 is: 33,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938 : 15,256.50 = 15,256.50 : x
  2. Step 2: Convert to fraction form
    6,938/15,256.50 = 15,256.50/x
  3. Step 3: Cross multiply
    6,938x = 15,256.50 × 15,256.50
  4. Step 4: Simplify right side
    6,938x = 232,760,792.25
  5. Step 5: Solve for x
    x = 232,760,792.25/6,938
  6. Step 6: Final answer
    x = 33,548.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.