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Finding the Third Proportional to 27,810 and 35,235

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Solution

The third proportional to 27,810 and 35,235 is: 44,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,810 : 35,235 = 35,235 : x
  2. Step 2: Convert to fraction form
    27,810/35,235 = 35,235/x
  3. Step 3: Cross multiply
    27,810x = 35,235 × 35,235
  4. Step 4: Simplify right side
    27,810x = 1,241,505,225
  5. Step 5: Solve for x
    x = 1,241,505,225/27,810
  6. Step 6: Final answer
    x = 44,642.40

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.