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Finding the Third Proportional to 1,639.50 and 3,539.63

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Solution

The third proportional to 1,639.50 and 3,539.63 is: 7,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.50 : 3,539.63 = 3,539.63 : x
  2. Step 2: Convert to fraction form
    1,639.50/3,539.63 = 3,539.63/x
  3. Step 3: Cross multiply
    1,639.50x = 3,539.63 × 3,539.63
  4. Step 4: Simplify right side
    1,639.50x = 12,528,945.14
  5. Step 5: Solve for x
    x = 12,528,945.14/1,639.50
  6. Step 6: Final answer
    x = 7,641.93

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Why These Related Problems?

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