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Finding the Third Proportional to 28,108 and 42,347

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Solution

The third proportional to 28,108 and 42,347 is: 63,799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,108 : 42,347 = 42,347 : x
  2. Step 2: Convert to fraction form
    28,108/42,347 = 42,347/x
  3. Step 3: Cross multiply
    28,108x = 42,347 × 42,347
  4. Step 4: Simplify right side
    28,108x = 1,793,268,409
  5. Step 5: Solve for x
    x = 1,793,268,409/28,108
  6. Step 6: Final answer
    x = 63,799.22

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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.