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Finding the Third Proportional to 2,032.17 and 3,075.47

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Solution

The third proportional to 2,032.17 and 3,075.47 is: 4,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.17 : 3,075.47 = 3,075.47 : x
  2. Step 2: Convert to fraction form
    2,032.17/3,075.47 = 3,075.47/x
  3. Step 3: Cross multiply
    2,032.17x = 3,075.47 × 3,075.47
  4. Step 4: Simplify right side
    2,032.17x = 9,458,508.03
  5. Step 5: Solve for x
    x = 9,458,508.03/2,032.17
  6. Step 6: Final answer
    x = 4,654.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.