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Finding the Third Proportional to 1,702.69 and 2,565.84

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Solution

The third proportional to 1,702.69 and 2,565.84 is: 3,866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.69 : 2,565.84 = 2,565.84 : x
  2. Step 2: Convert to fraction form
    1,702.69/2,565.84 = 2,565.84/x
  3. Step 3: Cross multiply
    1,702.69x = 2,565.84 × 2,565.84
  4. Step 4: Simplify right side
    1,702.69x = 6,583,554.15
  5. Step 5: Solve for x
    x = 6,583,554.15/1,702.69
  6. Step 6: Final answer
    x = 3,866.57

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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.