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Finding the Third Proportional to 15,305.63 and 21,665.81

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Solution

The third proportional to 15,305.63 and 21,665.81 is: 30,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,305.63 : 21,665.81 = 21,665.81 : x
  2. Step 2: Convert to fraction form
    15,305.63/21,665.81 = 21,665.81/x
  3. Step 3: Cross multiply
    15,305.63x = 21,665.81 × 21,665.81
  4. Step 4: Simplify right side
    15,305.63x = 469,407,431.29
  5. Step 5: Solve for x
    x = 469,407,431.29/15,305.63
  6. Step 6: Final answer
    x = 30,668.95

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.