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Finding the Third Proportional to 10,441 and 14,317.50

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Solution

The third proportional to 10,441 and 14,317.50 is: 19,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441 : 14,317.50 = 14,317.50 : x
  2. Step 2: Convert to fraction form
    10,441/14,317.50 = 14,317.50/x
  3. Step 3: Cross multiply
    10,441x = 14,317.50 × 14,317.50
  4. Step 4: Simplify right side
    10,441x = 204,990,806.25
  5. Step 5: Solve for x
    x = 204,990,806.25/10,441
  6. Step 6: Final answer
    x = 19,633.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.