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Finding the Third Proportional to 14,283 and 30,807

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Solution

The third proportional to 14,283 and 30,807 is: 66,447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283 : 30,807 = 30,807 : x
  2. Step 2: Convert to fraction form
    14,283/30,807 = 30,807/x
  3. Step 3: Cross multiply
    14,283x = 30,807 × 30,807
  4. Step 4: Simplify right side
    14,283x = 949,071,249
  5. Step 5: Solve for x
    x = 949,071,249/14,283
  6. Step 6: Final answer
    x = 66,447.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.