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Finding the Third Proportional to 2,810.50 and 4,048

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Solution

The third proportional to 2,810.50 and 4,048 is: 5,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.50 : 4,048 = 4,048 : x
  2. Step 2: Convert to fraction form
    2,810.50/4,048 = 4,048/x
  3. Step 3: Cross multiply
    2,810.50x = 4,048 × 4,048
  4. Step 4: Simplify right side
    2,810.50x = 16,386,304
  5. Step 5: Solve for x
    x = 16,386,304/2,810.50
  6. Step 6: Final answer
    x = 5,830.39

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.