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Finding the Third Proportional to 1,702.69 and 4,525.03

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Solution

The third proportional to 1,702.69 and 4,525.03 is: 12,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.69 : 4,525.03 = 4,525.03 : x
  2. Step 2: Convert to fraction form
    1,702.69/4,525.03 = 4,525.03/x
  3. Step 3: Cross multiply
    1,702.69x = 4,525.03 × 4,525.03
  4. Step 4: Simplify right side
    1,702.69x = 20,475,907.81
  5. Step 5: Solve for x
    x = 20,475,907.81/1,702.69
  6. Step 6: Final answer
    x = 12,025.64

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.