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Finding the Third Proportional to 1,582.03 and 2,302.17

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Solution

The third proportional to 1,582.03 and 2,302.17 is: 3,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.03 : 2,302.17 = 2,302.17 : x
  2. Step 2: Convert to fraction form
    1,582.03/2,302.17 = 2,302.17/x
  3. Step 3: Cross multiply
    1,582.03x = 2,302.17 × 2,302.17
  4. Step 4: Simplify right side
    1,582.03x = 5,299,995.34
  5. Step 5: Solve for x
    x = 5,299,995.34/1,582.03
  6. Step 6: Final answer
    x = 3,350.12

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.