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Finding the Third Proportional to 1,819.65 and 2,876.04

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Solution

The third proportional to 1,819.65 and 2,876.04 is: 4,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.65 : 2,876.04 = 2,876.04 : x
  2. Step 2: Convert to fraction form
    1,819.65/2,876.04 = 2,876.04/x
  3. Step 3: Cross multiply
    1,819.65x = 2,876.04 × 2,876.04
  4. Step 4: Simplify right side
    1,819.65x = 8,271,628.07
  5. Step 5: Solve for x
    x = 8,271,628.07/1,819.65
  6. Step 6: Final answer
    x = 4,545.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.