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Finding the Third Proportional to 6,404.06 and 14,931.84

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Solution

The third proportional to 6,404.06 and 14,931.84 is: 34,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.06 : 14,931.84 = 14,931.84 : x
  2. Step 2: Convert to fraction form
    6,404.06/14,931.84 = 14,931.84/x
  3. Step 3: Cross multiply
    6,404.06x = 14,931.84 × 14,931.84
  4. Step 4: Simplify right side
    6,404.06x = 222,959,957.77
  5. Step 5: Solve for x
    x = 222,959,957.77/6,404.06
  6. Step 6: Final answer
    x = 34,815.39

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.