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Finding the Third Proportional to 1,973.43 and 4,280.03

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Solution

The third proportional to 1,973.43 and 4,280.03 is: 9,282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.43 : 4,280.03 = 4,280.03 : x
  2. Step 2: Convert to fraction form
    1,973.43/4,280.03 = 4,280.03/x
  3. Step 3: Cross multiply
    1,973.43x = 4,280.03 × 4,280.03
  4. Step 4: Simplify right side
    1,973.43x = 18,318,634.06
  5. Step 5: Solve for x
    x = 18,318,634.06/1,973.43
  6. Step 6: Final answer
    x = 9,282.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.