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Finding the Third Proportional to 3,271.64 and 7,068.52

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Solution

The third proportional to 3,271.64 and 7,068.52 is: 15,271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.64 : 7,068.52 = 7,068.52 : x
  2. Step 2: Convert to fraction form
    3,271.64/7,068.52 = 7,068.52/x
  3. Step 3: Cross multiply
    3,271.64x = 7,068.52 × 7,068.52
  4. Step 4: Simplify right side
    3,271.64x = 49,963,913.14
  5. Step 5: Solve for x
    x = 49,963,913.14/3,271.64
  6. Step 6: Final answer
    x = 15,271.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.