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Finding the Third Proportional to 761.93 and 1,629.04

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Solution

The third proportional to 761.93 and 1,629.04 is: 3,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.93 : 1,629.04 = 1,629.04 : x
  2. Step 2: Convert to fraction form
    761.93/1,629.04 = 1,629.04/x
  3. Step 3: Cross multiply
    761.93x = 1,629.04 × 1,629.04
  4. Step 4: Simplify right side
    761.93x = 2,653,762.70
  5. Step 5: Solve for x
    x = 2,653,762.70/761.93
  6. Step 6: Final answer
    x = 3,482.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.