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Finding the Third Proportional to 14,549.63 and 32,387.34

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Solution

The third proportional to 14,549.63 and 32,387.34 is: 72,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.63 : 32,387.34 = 32,387.34 : x
  2. Step 2: Convert to fraction form
    14,549.63/32,387.34 = 32,387.34/x
  3. Step 3: Cross multiply
    14,549.63x = 32,387.34 × 32,387.34
  4. Step 4: Simplify right side
    14,549.63x = 1,048,940,035.18
  5. Step 5: Solve for x
    x = 1,048,940,035.18/14,549.63
  6. Step 6: Final answer
    x = 72,093.96

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.