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Finding the Third Proportional to 10,929.94 and 23,452.03

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Solution

The third proportional to 10,929.94 and 23,452.03 is: 50,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.94 : 23,452.03 = 23,452.03 : x
  2. Step 2: Convert to fraction form
    10,929.94/23,452.03 = 23,452.03/x
  3. Step 3: Cross multiply
    10,929.94x = 23,452.03 × 23,452.03
  4. Step 4: Simplify right side
    10,929.94x = 549,997,769.75
  5. Step 5: Solve for x
    x = 549,997,769.75/10,929.94
  6. Step 6: Final answer
    x = 50,320.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.