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Finding the Third Proportional to 7,144 and 9,820

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Solution

The third proportional to 7,144 and 9,820 is: 13,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144 : 9,820 = 9,820 : x
  2. Step 2: Convert to fraction form
    7,144/9,820 = 9,820/x
  3. Step 3: Cross multiply
    7,144x = 9,820 × 9,820
  4. Step 4: Simplify right side
    7,144x = 96,432,400
  5. Step 5: Solve for x
    x = 96,432,400/7,144
  6. Step 6: Final answer
    x = 13,498.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.