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Finding the Third Proportional to 10,784.44 and 23,068.19

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Solution

The third proportional to 10,784.44 and 23,068.19 is: 49,343.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.44 : 23,068.19 = 23,068.19 : x
  2. Step 2: Convert to fraction form
    10,784.44/23,068.19 = 23,068.19/x
  3. Step 3: Cross multiply
    10,784.44x = 23,068.19 × 23,068.19
  4. Step 4: Simplify right side
    10,784.44x = 532,141,274.54
  5. Step 5: Solve for x
    x = 532,141,274.54/10,784.44
  6. Step 6: Final answer
    x = 49,343.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.