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Finding the Third Proportional to 11,031.19 and 18,085.78

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Solution

The third proportional to 11,031.19 and 18,085.78 is: 29,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031.19 : 18,085.78 = 18,085.78 : x
  2. Step 2: Convert to fraction form
    11,031.19/18,085.78 = 18,085.78/x
  3. Step 3: Cross multiply
    11,031.19x = 18,085.78 × 18,085.78
  4. Step 4: Simplify right side
    11,031.19x = 327,095,483.42
  5. Step 5: Solve for x
    x = 327,095,483.42/11,031.19
  6. Step 6: Final answer
    x = 29,651.88

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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.