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Finding the Third Proportional to 23,310.75 and 35,159.63

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Solution

The third proportional to 23,310.75 and 35,159.63 is: 53,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,310.75 : 35,159.63 = 35,159.63 : x
  2. Step 2: Convert to fraction form
    23,310.75/35,159.63 = 35,159.63/x
  3. Step 3: Cross multiply
    23,310.75x = 35,159.63 × 35,159.63
  4. Step 4: Simplify right side
    23,310.75x = 1,236,199,230.14
  5. Step 5: Solve for x
    x = 1,236,199,230.14/23,310.75
  6. Step 6: Final answer
    x = 53,031.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.