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Finding the Third Proportional to 28,103 and 42,340

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Solution

The third proportional to 28,103 and 42,340 is: 63,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,103 : 42,340 = 42,340 : x
  2. Step 2: Convert to fraction form
    28,103/42,340 = 42,340/x
  3. Step 3: Cross multiply
    28,103x = 42,340 × 42,340
  4. Step 4: Simplify right side
    28,103x = 1,792,675,600
  5. Step 5: Solve for x
    x = 1,792,675,600/28,103
  6. Step 6: Final answer
    x = 63,789.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.