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Finding the Third Proportional to 23,120 and 33,038

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Solution

The third proportional to 23,120 and 33,038 is: 47,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,120 : 33,038 = 33,038 : x
  2. Step 2: Convert to fraction form
    23,120/33,038 = 33,038/x
  3. Step 3: Cross multiply
    23,120x = 33,038 × 33,038
  4. Step 4: Simplify right side
    23,120x = 1,091,509,444
  5. Step 5: Solve for x
    x = 1,091,509,444/23,120
  6. Step 6: Final answer
    x = 47,210.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.