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Finding the Third Proportional to 2,085.12 and 4,554.98

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Solution

The third proportional to 2,085.12 and 4,554.98 is: 9,950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.12 : 4,554.98 = 4,554.98 : x
  2. Step 2: Convert to fraction form
    2,085.12/4,554.98 = 4,554.98/x
  3. Step 3: Cross multiply
    2,085.12x = 4,554.98 × 4,554.98
  4. Step 4: Simplify right side
    2,085.12x = 20,747,882.66
  5. Step 5: Solve for x
    x = 20,747,882.66/2,085.12
  6. Step 6: Final answer
    x = 9,950.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.