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Finding the Third Proportional to 2,307.23 and 4,563.84

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Solution

The third proportional to 2,307.23 and 4,563.84 is: 9,027.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.23 : 4,563.84 = 4,563.84 : x
  2. Step 2: Convert to fraction form
    2,307.23/4,563.84 = 4,563.84/x
  3. Step 3: Cross multiply
    2,307.23x = 4,563.84 × 4,563.84
  4. Step 4: Simplify right side
    2,307.23x = 20,828,669.77
  5. Step 5: Solve for x
    x = 20,828,669.77/2,307.23
  6. Step 6: Final answer
    x = 9,027.55

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.