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Finding the Third Proportional to 2,048.25 and 4,810.88

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Solution

The third proportional to 2,048.25 and 4,810.88 is: 11,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.25 : 4,810.88 = 4,810.88 : x
  2. Step 2: Convert to fraction form
    2,048.25/4,810.88 = 4,810.88/x
  3. Step 3: Cross multiply
    2,048.25x = 4,810.88 × 4,810.88
  4. Step 4: Simplify right side
    2,048.25x = 23,144,518.27
  5. Step 5: Solve for x
    x = 23,144,518.27/2,048.25
  6. Step 6: Final answer
    x = 11,299.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.