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Finding the Third Proportional to 4,210 and 4,786

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Solution

The third proportional to 4,210 and 4,786 is: 5,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210 : 4,786 = 4,786 : x
  2. Step 2: Convert to fraction form
    4,210/4,786 = 4,786/x
  3. Step 3: Cross multiply
    4,210x = 4,786 × 4,786
  4. Step 4: Simplify right side
    4,210x = 22,905,796
  5. Step 5: Solve for x
    x = 22,905,796/4,210
  6. Step 6: Final answer
    x = 5,440.81

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.