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Finding the Third Proportional to 10,714 and 13,090

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Solution

The third proportional to 10,714 and 13,090 is: 15,992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714 : 13,090 = 13,090 : x
  2. Step 2: Convert to fraction form
    10,714/13,090 = 13,090/x
  3. Step 3: Cross multiply
    10,714x = 13,090 × 13,090
  4. Step 4: Simplify right side
    10,714x = 171,348,100
  5. Step 5: Solve for x
    x = 171,348,100/10,714
  6. Step 6: Final answer
    x = 15,992.92

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.