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Finding the Third Proportional to 23,053 and 35,660

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Solution

The third proportional to 23,053 and 35,660 is: 55,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,053 : 35,660 = 35,660 : x
  2. Step 2: Convert to fraction form
    23,053/35,660 = 35,660/x
  3. Step 3: Cross multiply
    23,053x = 35,660 × 35,660
  4. Step 4: Simplify right side
    23,053x = 1,271,635,600
  5. Step 5: Solve for x
    x = 1,271,635,600/23,053
  6. Step 6: Final answer
    x = 55,161.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.