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Finding the Third Proportional to 23,850 and 35,043.75

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Solution

The third proportional to 23,850 and 35,043.75 is: 51,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,850 : 35,043.75 = 35,043.75 : x
  2. Step 2: Convert to fraction form
    23,850/35,043.75 = 35,043.75/x
  3. Step 3: Cross multiply
    23,850x = 35,043.75 × 35,043.75
  4. Step 4: Simplify right side
    23,850x = 1,228,064,414.06
  5. Step 5: Solve for x
    x = 1,228,064,414.06/23,850
  6. Step 6: Final answer
    x = 51,491.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.