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Finding the Third Proportional to 10,595.81 and 23,012.44

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Solution

The third proportional to 10,595.81 and 23,012.44 is: 49,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.81 : 23,012.44 = 23,012.44 : x
  2. Step 2: Convert to fraction form
    10,595.81/23,012.44 = 23,012.44/x
  3. Step 3: Cross multiply
    10,595.81x = 23,012.44 × 23,012.44
  4. Step 4: Simplify right side
    10,595.81x = 529,572,279.69
  5. Step 5: Solve for x
    x = 529,572,279.69/10,595.81
  6. Step 6: Final answer
    x = 49,979.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.