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Finding the Third Proportional to 1,075.63 and 2,248.25

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Solution

The third proportional to 1,075.63 and 2,248.25 is: 4,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.63 : 2,248.25 = 2,248.25 : x
  2. Step 2: Convert to fraction form
    1,075.63/2,248.25 = 2,248.25/x
  3. Step 3: Cross multiply
    1,075.63x = 2,248.25 × 2,248.25
  4. Step 4: Simplify right side
    1,075.63x = 5,054,628.06
  5. Step 5: Solve for x
    x = 5,054,628.06/1,075.63
  6. Step 6: Final answer
    x = 4,699.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.