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Finding the Third Proportional to 4,485.94 and 6,421.50

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Solution

The third proportional to 4,485.94 and 6,421.50 is: 9,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,485.94 : 6,421.50 = 6,421.50 : x
  2. Step 2: Convert to fraction form
    4,485.94/6,421.50 = 6,421.50/x
  3. Step 3: Cross multiply
    4,485.94x = 6,421.50 × 6,421.50
  4. Step 4: Simplify right side
    4,485.94x = 41,235,662.25
  5. Step 5: Solve for x
    x = 41,235,662.25/4,485.94
  6. Step 6: Final answer
    x = 9,192.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.