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Finding the Third Proportional to 14,533.25 and 21,800.00

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Solution

The third proportional to 14,533.25 and 21,800.00 is: 32,700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.25 : 21,800.00 = 21,800.00 : x
  2. Step 2: Convert to fraction form
    14,533.25/21,800.00 = 21,800.00/x
  3. Step 3: Cross multiply
    14,533.25x = 21,800.00 × 21,800.00
  4. Step 4: Simplify right side
    14,533.25x = 475,239,787.11
  5. Step 5: Solve for x
    x = 475,239,787.11/14,533.25
  6. Step 6: Final answer
    x = 32,700.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.