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Finding the Third Proportional to 8,070 and 13,001

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Solution

The third proportional to 8,070 and 13,001 is: 20,944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070 : 13,001 = 13,001 : x
  2. Step 2: Convert to fraction form
    8,070/13,001 = 13,001/x
  3. Step 3: Cross multiply
    8,070x = 13,001 × 13,001
  4. Step 4: Simplify right side
    8,070x = 169,026,001
  5. Step 5: Solve for x
    x = 169,026,001/8,070
  6. Step 6: Final answer
    x = 20,944.98

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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.