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Finding the Third Proportional to 9,312.19 and 19,034.44

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Solution

The third proportional to 9,312.19 and 19,034.44 is: 38,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.19 : 19,034.44 = 19,034.44 : x
  2. Step 2: Convert to fraction form
    9,312.19/19,034.44 = 19,034.44/x
  3. Step 3: Cross multiply
    9,312.19x = 19,034.44 × 19,034.44
  4. Step 4: Simplify right side
    9,312.19x = 362,309,810.94
  5. Step 5: Solve for x
    x = 362,309,810.94/9,312.19
  6. Step 6: Final answer
    x = 38,907.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.