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Finding the Third Proportional to 2,068.03 and 3,302.02

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Solution

The third proportional to 2,068.03 and 3,302.02 is: 5,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.03 : 3,302.02 = 3,302.02 : x
  2. Step 2: Convert to fraction form
    2,068.03/3,302.02 = 3,302.02/x
  3. Step 3: Cross multiply
    2,068.03x = 3,302.02 × 3,302.02
  4. Step 4: Simplify right side
    2,068.03x = 10,903,307.19
  5. Step 5: Solve for x
    x = 10,903,307.19/2,068.03
  6. Step 6: Final answer
    x = 5,272.31

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.