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Finding the Third Proportional to 14,302.41 and 20,633.48

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Solution

The third proportional to 14,302.41 and 20,633.48 is: 29,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.41 : 20,633.48 = 20,633.48 : x
  2. Step 2: Convert to fraction form
    14,302.41/20,633.48 = 20,633.48/x
  3. Step 3: Cross multiply
    14,302.41x = 20,633.48 × 20,633.48
  4. Step 4: Simplify right side
    14,302.41x = 425,740,677.45
  5. Step 5: Solve for x
    x = 425,740,677.45/14,302.41
  6. Step 6: Final answer
    x = 29,767.07

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.