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Finding the Third Proportional to 6,204.94 and 12,098.53

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Solution

The third proportional to 6,204.94 and 12,098.53 is: 23,590.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.94 : 12,098.53 = 12,098.53 : x
  2. Step 2: Convert to fraction form
    6,204.94/12,098.53 = 12,098.53/x
  3. Step 3: Cross multiply
    6,204.94x = 12,098.53 × 12,098.53
  4. Step 4: Simplify right side
    6,204.94x = 146,374,458.41
  5. Step 5: Solve for x
    x = 146,374,458.41/6,204.94
  6. Step 6: Final answer
    x = 23,590.00

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.