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Finding the Third Proportional to 16,585.88 and 34,034.63

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Solution

The third proportional to 16,585.88 and 34,034.63 is: 69,839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.88 : 34,034.63 = 34,034.63 : x
  2. Step 2: Convert to fraction form
    16,585.88/34,034.63 = 34,034.63/x
  3. Step 3: Cross multiply
    16,585.88x = 34,034.63 × 34,034.63
  4. Step 4: Simplify right side
    16,585.88x = 1,158,355,698.89
  5. Step 5: Solve for x
    x = 1,158,355,698.89/16,585.88
  6. Step 6: Final answer
    x = 69,839.89

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.