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Finding the Third Proportional to 17,670 and 38,457

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Solution

The third proportional to 17,670 and 38,457 is: 83,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670 : 38,457 = 38,457 : x
  2. Step 2: Convert to fraction form
    17,670/38,457 = 38,457/x
  3. Step 3: Cross multiply
    17,670x = 38,457 × 38,457
  4. Step 4: Simplify right side
    17,670x = 1,478,940,849
  5. Step 5: Solve for x
    x = 1,478,940,849/17,670
  6. Step 6: Final answer
    x = 83,697.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.