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Finding the Third Proportional to 6,411 and 10,021.50

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Solution

The third proportional to 6,411 and 10,021.50 is: 15,665.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411 : 10,021.50 = 10,021.50 : x
  2. Step 2: Convert to fraction form
    6,411/10,021.50 = 10,021.50/x
  3. Step 3: Cross multiply
    6,411x = 10,021.50 × 10,021.50
  4. Step 4: Simplify right side
    6,411x = 100,430,462.25
  5. Step 5: Solve for x
    x = 100,430,462.25/6,411
  6. Step 6: Final answer
    x = 15,665.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.