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Finding the Third Proportional to 10,484 and 12,004

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Solution

The third proportional to 10,484 and 12,004 is: 13,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484 : 12,004 = 12,004 : x
  2. Step 2: Convert to fraction form
    10,484/12,004 = 12,004/x
  3. Step 3: Cross multiply
    10,484x = 12,004 × 12,004
  4. Step 4: Simplify right side
    10,484x = 144,096,016
  5. Step 5: Solve for x
    x = 144,096,016/10,484
  6. Step 6: Final answer
    x = 13,744.37

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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.