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Finding the Third Proportional to 4,089.06 and 6,485.38

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Solution

The third proportional to 4,089.06 and 6,485.38 is: 10,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.06 : 6,485.38 = 6,485.38 : x
  2. Step 2: Convert to fraction form
    4,089.06/6,485.38 = 6,485.38/x
  3. Step 3: Cross multiply
    4,089.06x = 6,485.38 × 6,485.38
  4. Step 4: Simplify right side
    4,089.06x = 42,060,088.89
  5. Step 5: Solve for x
    x = 42,060,088.89/4,089.06
  6. Step 6: Final answer
    x = 10,286.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.