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Finding the Third Proportional to 6,465 and 14,161

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Solution

The third proportional to 6,465 and 14,161 is: 31,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465 : 14,161 = 14,161 : x
  2. Step 2: Convert to fraction form
    6,465/14,161 = 14,161/x
  3. Step 3: Cross multiply
    6,465x = 14,161 × 14,161
  4. Step 4: Simplify right side
    6,465x = 200,533,921
  5. Step 5: Solve for x
    x = 200,533,921/6,465
  6. Step 6: Final answer
    x = 31,018.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.