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Finding the Third Proportional to 9,071.63 and 19,244.44

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Solution

The third proportional to 9,071.63 and 19,244.44 is: 40,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.63 : 19,244.44 = 19,244.44 : x
  2. Step 2: Convert to fraction form
    9,071.63/19,244.44 = 19,244.44/x
  3. Step 3: Cross multiply
    9,071.63x = 19,244.44 × 19,244.44
  4. Step 4: Simplify right side
    9,071.63x = 370,348,374.69
  5. Step 5: Solve for x
    x = 370,348,374.69/9,071.63
  6. Step 6: Final answer
    x = 40,824.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.