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Finding the Third Proportional to 28,266 and 42,310

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Solution

The third proportional to 28,266 and 42,310 is: 63,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,266 : 42,310 = 42,310 : x
  2. Step 2: Convert to fraction form
    28,266/42,310 = 42,310/x
  3. Step 3: Cross multiply
    28,266x = 42,310 × 42,310
  4. Step 4: Simplify right side
    28,266x = 1,790,136,100
  5. Step 5: Solve for x
    x = 1,790,136,100/28,266
  6. Step 6: Final answer
    x = 63,331.78

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