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Finding the Third Proportional to 27,826 and 59,702

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Solution

The third proportional to 27,826 and 59,702 is: 128,093.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826 : 59,702 = 59,702 : x
  2. Step 2: Convert to fraction form
    27,826/59,702 = 59,702/x
  3. Step 3: Cross multiply
    27,826x = 59,702 × 59,702
  4. Step 4: Simplify right side
    27,826x = 3,564,328,804
  5. Step 5: Solve for x
    x = 3,564,328,804/27,826
  6. Step 6: Final answer
    x = 128,093.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.