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Finding the Third Proportional to 2,484 and 4,383

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Solution

The third proportional to 2,484 and 4,383 is: 7,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484 : 4,383 = 4,383 : x
  2. Step 2: Convert to fraction form
    2,484/4,383 = 4,383/x
  3. Step 3: Cross multiply
    2,484x = 4,383 × 4,383
  4. Step 4: Simplify right side
    2,484x = 19,210,689
  5. Step 5: Solve for x
    x = 19,210,689/2,484
  6. Step 6: Final answer
    x = 7,733.77

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.