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Finding the Third Proportional to 2,152.69 and 3,272.06

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Solution

The third proportional to 2,152.69 and 3,272.06 is: 4,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.69 : 3,272.06 = 3,272.06 : x
  2. Step 2: Convert to fraction form
    2,152.69/3,272.06 = 3,272.06/x
  3. Step 3: Cross multiply
    2,152.69x = 3,272.06 × 3,272.06
  4. Step 4: Simplify right side
    2,152.69x = 10,706,393.00
  5. Step 5: Solve for x
    x = 10,706,393.00/2,152.69
  6. Step 6: Final answer
    x = 4,973.50

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.