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Finding the Third Proportional to 43,684 and 65,457

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Solution

The third proportional to 43,684 and 65,457 is: 98,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,684 : 65,457 = 65,457 : x
  2. Step 2: Convert to fraction form
    43,684/65,457 = 65,457/x
  3. Step 3: Cross multiply
    43,684x = 65,457 × 65,457
  4. Step 4: Simplify right side
    43,684x = 4,284,618,849
  5. Step 5: Solve for x
    x = 4,284,618,849/43,684
  6. Step 6: Final answer
    x = 98,082.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.