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Finding the Third Proportional to 24,159 and 52,457

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Solution

The third proportional to 24,159 and 52,457 is: 113,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,159 : 52,457 = 52,457 : x
  2. Step 2: Convert to fraction form
    24,159/52,457 = 52,457/x
  3. Step 3: Cross multiply
    24,159x = 52,457 × 52,457
  4. Step 4: Simplify right side
    24,159x = 2,751,736,849
  5. Step 5: Solve for x
    x = 2,751,736,849/24,159
  6. Step 6: Final answer
    x = 113,901.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.