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Finding the Third Proportional to 2,820.94 and 4,384.69

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Solution

The third proportional to 2,820.94 and 4,384.69 is: 6,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.94 : 4,384.69 = 4,384.69 : x
  2. Step 2: Convert to fraction form
    2,820.94/4,384.69 = 4,384.69/x
  3. Step 3: Cross multiply
    2,820.94x = 4,384.69 × 4,384.69
  4. Step 4: Simplify right side
    2,820.94x = 19,225,484.47
  5. Step 5: Solve for x
    x = 19,225,484.47/2,820.94
  6. Step 6: Final answer
    x = 6,815.28

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Why These Related Problems?

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