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Finding the Third Proportional to 30,964 and 65,928

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Solution

The third proportional to 30,964 and 65,928 is: 140,372.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,964 : 65,928 = 65,928 : x
  2. Step 2: Convert to fraction form
    30,964/65,928 = 65,928/x
  3. Step 3: Cross multiply
    30,964x = 65,928 × 65,928
  4. Step 4: Simplify right side
    30,964x = 4,346,501,184
  5. Step 5: Solve for x
    x = 4,346,501,184/30,964
  6. Step 6: Final answer
    x = 140,372.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.