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Finding the Third Proportional to 11,147.63 and 18,300.94

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Solution

The third proportional to 11,147.63 and 18,300.94 is: 30,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.63 : 18,300.94 = 18,300.94 : x
  2. Step 2: Convert to fraction form
    11,147.63/18,300.94 = 18,300.94/x
  3. Step 3: Cross multiply
    11,147.63x = 18,300.94 × 18,300.94
  4. Step 4: Simplify right side
    11,147.63x = 334,924,313.38
  5. Step 5: Solve for x
    x = 334,924,313.38/11,147.63
  6. Step 6: Final answer
    x = 30,044.45

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.