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Finding the Third Proportional to 1,582.03 and 3,468.84

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Solution

The third proportional to 1,582.03 and 3,468.84 is: 7,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.03 : 3,468.84 = 3,468.84 : x
  2. Step 2: Convert to fraction form
    1,582.03/3,468.84 = 3,468.84/x
  3. Step 3: Cross multiply
    1,582.03x = 3,468.84 × 3,468.84
  4. Step 4: Simplify right side
    1,582.03x = 12,032,876.96
  5. Step 5: Solve for x
    x = 12,032,876.96/1,582.03
  6. Step 6: Final answer
    x = 7,605.97

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