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Finding the Third Proportional to 1,841.63 and 3,975.28

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Solution

The third proportional to 1,841.63 and 3,975.28 is: 8,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.63 : 3,975.28 = 3,975.28 : x
  2. Step 2: Convert to fraction form
    1,841.63/3,975.28 = 3,975.28/x
  3. Step 3: Cross multiply
    1,841.63x = 3,975.28 × 3,975.28
  4. Step 4: Simplify right side
    1,841.63x = 15,802,861.02
  5. Step 5: Solve for x
    x = 15,802,861.02/1,841.63
  6. Step 6: Final answer
    x = 8,580.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.