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Finding the Third Proportional to 1,983.70 and 2,914.17

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Solution

The third proportional to 1,983.70 and 2,914.17 is: 4,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.70 : 2,914.17 = 2,914.17 : x
  2. Step 2: Convert to fraction form
    1,983.70/2,914.17 = 2,914.17/x
  3. Step 3: Cross multiply
    1,983.70x = 2,914.17 × 2,914.17
  4. Step 4: Simplify right side
    1,983.70x = 8,492,397.72
  5. Step 5: Solve for x
    x = 8,492,397.72/1,983.70
  6. Step 6: Final answer
    x = 4,281.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.