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Finding the Third Proportional to 14,846.63 and 21,783.94

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Solution

The third proportional to 14,846.63 and 21,783.94 is: 31,962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.63 : 21,783.94 = 21,783.94 : x
  2. Step 2: Convert to fraction form
    14,846.63/21,783.94 = 21,783.94/x
  3. Step 3: Cross multiply
    14,846.63x = 21,783.94 × 21,783.94
  4. Step 4: Simplify right side
    14,846.63x = 474,539,933.00
  5. Step 5: Solve for x
    x = 474,539,933.00/14,846.63
  6. Step 6: Final answer
    x = 31,962.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.