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Finding the Third Proportional to 23,430 and 35,841

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Solution

The third proportional to 23,430 and 35,841 is: 54,826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,430 : 35,841 = 35,841 : x
  2. Step 2: Convert to fraction form
    23,430/35,841 = 35,841/x
  3. Step 3: Cross multiply
    23,430x = 35,841 × 35,841
  4. Step 4: Simplify right side
    23,430x = 1,284,577,281
  5. Step 5: Solve for x
    x = 1,284,577,281/23,430
  6. Step 6: Final answer
    x = 54,826.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.