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Finding the Third Proportional to 4,029 and 4,875

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Solution

The third proportional to 4,029 and 4,875 is: 5,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,029 : 4,875 = 4,875 : x
  2. Step 2: Convert to fraction form
    4,029/4,875 = 4,875/x
  3. Step 3: Cross multiply
    4,029x = 4,875 × 4,875
  4. Step 4: Simplify right side
    4,029x = 23,765,625
  5. Step 5: Solve for x
    x = 23,765,625/4,029
  6. Step 6: Final answer
    x = 5,898.64

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.