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Finding the Third Proportional to 2,798.93 and 4,114.55

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Solution

The third proportional to 2,798.93 and 4,114.55 is: 6,048.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.93 : 4,114.55 = 4,114.55 : x
  2. Step 2: Convert to fraction form
    2,798.93/4,114.55 = 4,114.55/x
  3. Step 3: Cross multiply
    2,798.93x = 4,114.55 × 4,114.55
  4. Step 4: Simplify right side
    2,798.93x = 16,929,495.99
  5. Step 5: Solve for x
    x = 16,929,495.99/2,798.93
  6. Step 6: Final answer
    x = 6,048.56

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Why These Related Problems?

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