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Finding the Third Proportional to 9,710 and 20,971

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Solution

The third proportional to 9,710 and 20,971 is: 45,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710 : 20,971 = 20,971 : x
  2. Step 2: Convert to fraction form
    9,710/20,971 = 20,971/x
  3. Step 3: Cross multiply
    9,710x = 20,971 × 20,971
  4. Step 4: Simplify right side
    9,710x = 439,782,841
  5. Step 5: Solve for x
    x = 439,782,841/9,710
  6. Step 6: Final answer
    x = 45,291.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.