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Finding the Third Proportional to 1,983.94 and 3,070.13

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Solution

The third proportional to 1,983.94 and 3,070.13 is: 4,750.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.94 : 3,070.13 = 3,070.13 : x
  2. Step 2: Convert to fraction form
    1,983.94/3,070.13 = 3,070.13/x
  3. Step 3: Cross multiply
    1,983.94x = 3,070.13 × 3,070.13
  4. Step 4: Simplify right side
    1,983.94x = 9,425,667.52
  5. Step 5: Solve for x
    x = 9,425,667.52/1,983.94
  6. Step 6: Final answer
    x = 4,750.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.