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Finding the Third Proportional to 7,028 and 12,940

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Solution

The third proportional to 7,028 and 12,940 is: 23,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028 : 12,940 = 12,940 : x
  2. Step 2: Convert to fraction form
    7,028/12,940 = 12,940/x
  3. Step 3: Cross multiply
    7,028x = 12,940 × 12,940
  4. Step 4: Simplify right side
    7,028x = 167,443,600
  5. Step 5: Solve for x
    x = 167,443,600/7,028
  6. Step 6: Final answer
    x = 23,825.21

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.