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Finding the Third Proportional to 14,573.81 and 21,382.17

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Solution

The third proportional to 14,573.81 and 21,382.17 is: 31,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.81 : 21,382.17 = 21,382.17 : x
  2. Step 2: Convert to fraction form
    14,573.81/21,382.17 = 21,382.17/x
  3. Step 3: Cross multiply
    14,573.81x = 21,382.17 × 21,382.17
  4. Step 4: Simplify right side
    14,573.81x = 457,197,274.09
  5. Step 5: Solve for x
    x = 457,197,274.09/14,573.81
  6. Step 6: Final answer
    x = 31,371.15

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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.