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Finding the Third Proportional to 13,757.06 and 21,866.63

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Solution

The third proportional to 13,757.06 and 21,866.63 is: 34,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.06 : 21,866.63 = 21,866.63 : x
  2. Step 2: Convert to fraction form
    13,757.06/21,866.63 = 21,866.63/x
  3. Step 3: Cross multiply
    13,757.06x = 21,866.63 × 21,866.63
  4. Step 4: Simplify right side
    13,757.06x = 478,149,288.89
  5. Step 5: Solve for x
    x = 478,149,288.89/13,757.06
  6. Step 6: Final answer
    x = 34,756.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.