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Finding the Third Proportional to 4,218 and 6,484

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Solution

The third proportional to 4,218 and 6,484 is: 9,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218 : 6,484 = 6,484 : x
  2. Step 2: Convert to fraction form
    4,218/6,484 = 6,484/x
  3. Step 3: Cross multiply
    4,218x = 6,484 × 6,484
  4. Step 4: Simplify right side
    4,218x = 42,042,256
  5. Step 5: Solve for x
    x = 42,042,256/4,218
  6. Step 6: Final answer
    x = 9,967.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.