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Finding the Third Proportional to 24,283 and 49,457

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Solution

The third proportional to 24,283 and 49,457 is: 100,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,283 : 49,457 = 49,457 : x
  2. Step 2: Convert to fraction form
    24,283/49,457 = 49,457/x
  3. Step 3: Cross multiply
    24,283x = 49,457 × 49,457
  4. Step 4: Simplify right side
    24,283x = 2,445,994,849
  5. Step 5: Solve for x
    x = 2,445,994,849/24,283
  6. Step 6: Final answer
    x = 100,728.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.