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Finding the Third Proportional to 1,702.69 and 3,726.84

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Solution

The third proportional to 1,702.69 and 3,726.84 is: 8,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.69 : 3,726.84 = 3,726.84 : x
  2. Step 2: Convert to fraction form
    1,702.69/3,726.84 = 3,726.84/x
  3. Step 3: Cross multiply
    1,702.69x = 3,726.84 × 3,726.84
  4. Step 4: Simplify right side
    1,702.69x = 13,889,364.34
  5. Step 5: Solve for x
    x = 13,889,364.34/1,702.69
  6. Step 6: Final answer
    x = 8,157.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.