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Finding the Third Proportional to 922.85 and 2,048.84

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Solution

The third proportional to 922.85 and 2,048.84 is: 4,548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.85 : 2,048.84 = 2,048.84 : x
  2. Step 2: Convert to fraction form
    922.85/2,048.84 = 2,048.84/x
  3. Step 3: Cross multiply
    922.85x = 2,048.84 × 2,048.84
  4. Step 4: Simplify right side
    922.85x = 4,197,728.70
  5. Step 5: Solve for x
    x = 4,197,728.70/922.85
  6. Step 6: Final answer
    x = 4,548.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.