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Finding the Third Proportional to 14,409.85 and 21,807.00

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Solution

The third proportional to 14,409.85 and 21,807.00 is: 33,001.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.85 : 21,807.00 = 21,807.00 : x
  2. Step 2: Convert to fraction form
    14,409.85/21,807.00 = 21,807.00/x
  3. Step 3: Cross multiply
    14,409.85x = 21,807.00 × 21,807.00
  4. Step 4: Simplify right side
    14,409.85x = 475,545,057.34
  5. Step 5: Solve for x
    x = 475,545,057.34/14,409.85
  6. Step 6: Final answer
    x = 33,001.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.