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Finding the Third Proportional to 1,685.98 and 2,518.84

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Solution

The third proportional to 1,685.98 and 2,518.84 is: 3,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.98 : 2,518.84 = 2,518.84 : x
  2. Step 2: Convert to fraction form
    1,685.98/2,518.84 = 2,518.84/x
  3. Step 3: Cross multiply
    1,685.98x = 2,518.84 × 2,518.84
  4. Step 4: Simplify right side
    1,685.98x = 6,344,573.84
  5. Step 5: Solve for x
    x = 6,344,573.84/1,685.98
  6. Step 6: Final answer
    x = 3,763.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.