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Finding the Third Proportional to 34,054 and 56,279

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Solution

The third proportional to 34,054 and 56,279 is: 93,008.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,054 : 56,279 = 56,279 : x
  2. Step 2: Convert to fraction form
    34,054/56,279 = 56,279/x
  3. Step 3: Cross multiply
    34,054x = 56,279 × 56,279
  4. Step 4: Simplify right side
    34,054x = 3,167,325,841
  5. Step 5: Solve for x
    x = 3,167,325,841/34,054
  6. Step 6: Final answer
    x = 93,008.92

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.