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Finding the Third Proportional to 3,075.47 and 6,749.21

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Solution

The third proportional to 3,075.47 and 6,749.21 is: 14,811.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.47 : 6,749.21 = 6,749.21 : x
  2. Step 2: Convert to fraction form
    3,075.47/6,749.21 = 6,749.21/x
  3. Step 3: Cross multiply
    3,075.47x = 6,749.21 × 6,749.21
  4. Step 4: Simplify right side
    3,075.47x = 45,551,866.40
  5. Step 5: Solve for x
    x = 45,551,866.40/3,075.47
  6. Step 6: Final answer
    x = 14,811.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.