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Finding the Third Proportional to 14,549.63 and 21,819.38

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Solution

The third proportional to 14,549.63 and 21,819.38 is: 32,721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.63 : 21,819.38 = 21,819.38 : x
  2. Step 2: Convert to fraction form
    14,549.63/21,819.38 = 21,819.38/x
  3. Step 3: Cross multiply
    14,549.63x = 21,819.38 × 21,819.38
  4. Step 4: Simplify right side
    14,549.63x = 476,085,125.39
  5. Step 5: Solve for x
    x = 476,085,125.39/14,549.63
  6. Step 6: Final answer
    x = 32,721.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.