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Finding the Third Proportional to 4,323 and 10,101.75

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Solution

The third proportional to 4,323 and 10,101.75 is: 23,605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323 : 10,101.75 = 10,101.75 : x
  2. Step 2: Convert to fraction form
    4,323/10,101.75 = 10,101.75/x
  3. Step 3: Cross multiply
    4,323x = 10,101.75 × 10,101.75
  4. Step 4: Simplify right side
    4,323x = 102,045,353.06
  5. Step 5: Solve for x
    x = 102,045,353.06/4,323
  6. Step 6: Final answer
    x = 23,605.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.