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Finding the Third Proportional to 1,685.81 and 3,045.09

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Solution

The third proportional to 1,685.81 and 3,045.09 is: 5,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.81 : 3,045.09 = 3,045.09 : x
  2. Step 2: Convert to fraction form
    1,685.81/3,045.09 = 3,045.09/x
  3. Step 3: Cross multiply
    1,685.81x = 3,045.09 × 3,045.09
  4. Step 4: Simplify right side
    1,685.81x = 9,272,595.95
  5. Step 5: Solve for x
    x = 9,272,595.95/1,685.81
  6. Step 6: Final answer
    x = 5,500.37

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.