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Finding the Third Proportional to 1,984.10 and 2,916.89

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Solution

The third proportional to 1,984.10 and 2,916.89 is: 4,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.10 : 2,916.89 = 2,916.89 : x
  2. Step 2: Convert to fraction form
    1,984.10/2,916.89 = 2,916.89/x
  3. Step 3: Cross multiply
    1,984.10x = 2,916.89 × 2,916.89
  4. Step 4: Simplify right side
    1,984.10x = 8,508,246.65
  5. Step 5: Solve for x
    x = 8,508,246.65/1,984.10
  6. Step 6: Final answer
    x = 4,288.20

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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.