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Finding the Third Proportional to 9,543.09 and 14,029.59

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Solution

The third proportional to 9,543.09 and 14,029.59 is: 20,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.09 : 14,029.59 = 14,029.59 : x
  2. Step 2: Convert to fraction form
    9,543.09/14,029.59 = 14,029.59/x
  3. Step 3: Cross multiply
    9,543.09x = 14,029.59 × 14,029.59
  4. Step 4: Simplify right side
    9,543.09x = 196,829,500.79
  5. Step 5: Solve for x
    x = 196,829,500.79/9,543.09
  6. Step 6: Final answer
    x = 20,625.33

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.