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Finding the Third Proportional to 23,419.13 and 33,630.19

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Solution

The third proportional to 23,419.13 and 33,630.19 is: 48,293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,419.13 : 33,630.19 = 33,630.19 : x
  2. Step 2: Convert to fraction form
    23,419.13/33,630.19 = 33,630.19/x
  3. Step 3: Cross multiply
    23,419.13x = 33,630.19 × 33,630.19
  4. Step 4: Simplify right side
    23,419.13x = 1,130,989,511.29
  5. Step 5: Solve for x
    x = 1,130,989,511.29/23,419.13
  6. Step 6: Final answer
    x = 48,293.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.