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Finding the Third Proportional to 28,638 and 42,960

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Solution

The third proportional to 28,638 and 42,960 is: 64,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,638 : 42,960 = 42,960 : x
  2. Step 2: Convert to fraction form
    28,638/42,960 = 42,960/x
  3. Step 3: Cross multiply
    28,638x = 42,960 × 42,960
  4. Step 4: Simplify right side
    28,638x = 1,845,561,600
  5. Step 5: Solve for x
    x = 1,845,561,600/28,638
  6. Step 6: Final answer
    x = 64,444.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.