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Finding the Third Proportional to 2,782.69 and 4,437.28

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Solution

The third proportional to 2,782.69 and 4,437.28 is: 7,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.69 : 4,437.28 = 4,437.28 : x
  2. Step 2: Convert to fraction form
    2,782.69/4,437.28 = 4,437.28/x
  3. Step 3: Cross multiply
    2,782.69x = 4,437.28 × 4,437.28
  4. Step 4: Simplify right side
    2,782.69x = 19,689,464.89
  5. Step 5: Solve for x
    x = 19,689,464.89/2,782.69
  6. Step 6: Final answer
    x = 7,075.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.