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Finding the Third Proportional to 30,812 and 65,080

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Solution

The third proportional to 30,812 and 65,080 is: 137,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812 : 65,080 = 65,080 : x
  2. Step 2: Convert to fraction form
    30,812/65,080 = 65,080/x
  3. Step 3: Cross multiply
    30,812x = 65,080 × 65,080
  4. Step 4: Simplify right side
    30,812x = 4,235,406,400
  5. Step 5: Solve for x
    x = 4,235,406,400/30,812
  6. Step 6: Final answer
    x = 137,459.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.