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Finding the Third Proportional to 14,309.06 and 21,888.94

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Solution

The third proportional to 14,309.06 and 21,888.94 is: 33,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.06 : 21,888.94 = 21,888.94 : x
  2. Step 2: Convert to fraction form
    14,309.06/21,888.94 = 21,888.94/x
  3. Step 3: Cross multiply
    14,309.06x = 21,888.94 × 21,888.94
  4. Step 4: Simplify right side
    14,309.06x = 479,125,584.88
  5. Step 5: Solve for x
    x = 479,125,584.88/14,309.06
  6. Step 6: Final answer
    x = 33,484.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.