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Finding the Third Proportional to 26,260 and 56,211

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Solution

The third proportional to 26,260 and 56,211 is: 120,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,260 : 56,211 = 56,211 : x
  2. Step 2: Convert to fraction form
    26,260/56,211 = 56,211/x
  3. Step 3: Cross multiply
    26,260x = 56,211 × 56,211
  4. Step 4: Simplify right side
    26,260x = 3,159,676,521
  5. Step 5: Solve for x
    x = 3,159,676,521/26,260
  6. Step 6: Final answer
    x = 120,322.79

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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.