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Finding the Third Proportional to 6,485.06 and 9,913.64

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Solution

The third proportional to 6,485.06 and 9,913.64 is: 15,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.06 : 9,913.64 = 9,913.64 : x
  2. Step 2: Convert to fraction form
    6,485.06/9,913.64 = 9,913.64/x
  3. Step 3: Cross multiply
    6,485.06x = 9,913.64 × 9,913.64
  4. Step 4: Simplify right side
    6,485.06x = 98,280,270.44
  5. Step 5: Solve for x
    x = 98,280,270.44/6,485.06
  6. Step 6: Final answer
    x = 15,154.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.