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Finding the Third Proportional to 28,582 and 43,966

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Solution

The third proportional to 28,582 and 43,966 is: 67,630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,582 : 43,966 = 43,966 : x
  2. Step 2: Convert to fraction form
    28,582/43,966 = 43,966/x
  3. Step 3: Cross multiply
    28,582x = 43,966 × 43,966
  4. Step 4: Simplify right side
    28,582x = 1,933,009,156
  5. Step 5: Solve for x
    x = 1,933,009,156/28,582
  6. Step 6: Final answer
    x = 67,630.30

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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.