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Finding the Third Proportional to 9,733.50 and 21,175.59

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Solution

The third proportional to 9,733.50 and 21,175.59 is: 46,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.50 : 21,175.59 = 21,175.59 : x
  2. Step 2: Convert to fraction form
    9,733.50/21,175.59 = 21,175.59/x
  3. Step 3: Cross multiply
    9,733.50x = 21,175.59 × 21,175.59
  4. Step 4: Simplify right side
    9,733.50x = 448,405,770.67
  5. Step 5: Solve for x
    x = 448,405,770.67/9,733.50
  6. Step 6: Final answer
    x = 46,068.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.