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Finding the Third Proportional to 8,953.88 and 13,741.31

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Solution

The third proportional to 8,953.88 and 13,741.31 is: 21,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.88 : 13,741.31 = 13,741.31 : x
  2. Step 2: Convert to fraction form
    8,953.88/13,741.31 = 13,741.31/x
  3. Step 3: Cross multiply
    8,953.88x = 13,741.31 × 13,741.31
  4. Step 4: Simplify right side
    8,953.88x = 188,823,669.22
  5. Step 5: Solve for x
    x = 188,823,669.22/8,953.88
  6. Step 6: Final answer
    x = 21,088.49

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