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Finding the Third Proportional to 1,702.69 and 4,374.84

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Solution

The third proportional to 1,702.69 and 4,374.84 is: 11,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.69 : 4,374.84 = 4,374.84 : x
  2. Step 2: Convert to fraction form
    1,702.69/4,374.84 = 4,374.84/x
  3. Step 3: Cross multiply
    1,702.69x = 4,374.84 × 4,374.84
  4. Step 4: Simplify right side
    1,702.69x = 19,139,257.84
  5. Step 5: Solve for x
    x = 19,139,257.84/1,702.69
  6. Step 6: Final answer
    x = 11,240.62

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These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.