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Finding the Third Proportional to 962.77 and 2,075.67

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Solution

The third proportional to 962.77 and 2,075.67 is: 4,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.77 : 2,075.67 = 2,075.67 : x
  2. Step 2: Convert to fraction form
    962.77/2,075.67 = 2,075.67/x
  3. Step 3: Cross multiply
    962.77x = 2,075.67 × 2,075.67
  4. Step 4: Simplify right side
    962.77x = 4,308,424.37
  5. Step 5: Solve for x
    x = 4,308,424.37/962.77
  6. Step 6: Final answer
    x = 4,475.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.