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Finding the Third Proportional to 6,284 and 10,090

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Solution

The third proportional to 6,284 and 10,090 is: 16,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284 : 10,090 = 10,090 : x
  2. Step 2: Convert to fraction form
    6,284/10,090 = 10,090/x
  3. Step 3: Cross multiply
    6,284x = 10,090 × 10,090
  4. Step 4: Simplify right side
    6,284x = 101,808,100
  5. Step 5: Solve for x
    x = 101,808,100/6,284
  6. Step 6: Final answer
    x = 16,201.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.