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Finding the Third Proportional to 14,984.37 and 34,693.00

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Solution

The third proportional to 14,984.37 and 34,693.00 is: 80,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,984.37 : 34,693.00 = 34,693.00 : x
  2. Step 2: Convert to fraction form
    14,984.37/34,693.00 = 34,693.00/x
  3. Step 3: Cross multiply
    14,984.37x = 34,693.00 × 34,693.00
  4. Step 4: Simplify right side
    14,984.37x = 1,203,603,977.96
  5. Step 5: Solve for x
    x = 1,203,603,977.96/14,984.37
  6. Step 6: Final answer
    x = 80,323.98

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.