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Finding the Third Proportional to 26,318 and 56,389

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Solution

The third proportional to 26,318 and 56,389 is: 120,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,318 : 56,389 = 56,389 : x
  2. Step 2: Convert to fraction form
    26,318/56,389 = 56,389/x
  3. Step 3: Cross multiply
    26,318x = 56,389 × 56,389
  4. Step 4: Simplify right side
    26,318x = 3,179,719,321
  5. Step 5: Solve for x
    x = 3,179,719,321/26,318
  6. Step 6: Final answer
    x = 120,819.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.