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Finding the Third Proportional to 932.06 and 2,075.06

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Solution

The third proportional to 932.06 and 2,075.06 is: 4,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.06 : 2,075.06 = 2,075.06 : x
  2. Step 2: Convert to fraction form
    932.06/2,075.06 = 2,075.06/x
  3. Step 3: Cross multiply
    932.06x = 2,075.06 × 2,075.06
  4. Step 4: Simplify right side
    932.06x = 4,305,884.38
  5. Step 5: Solve for x
    x = 4,305,884.38/932.06
  6. Step 6: Final answer
    x = 4,619.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.