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Finding the Third Proportional to 26,447 and 39,674.50

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Solution

The third proportional to 26,447 and 39,674.50 is: 59,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,447 : 39,674.50 = 39,674.50 : x
  2. Step 2: Convert to fraction form
    26,447/39,674.50 = 39,674.50/x
  3. Step 3: Cross multiply
    26,447x = 39,674.50 × 39,674.50
  4. Step 4: Simplify right side
    26,447x = 1,574,065,950.25
  5. Step 5: Solve for x
    x = 1,574,065,950.25/26,447
  6. Step 6: Final answer
    x = 59,517.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.