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Finding the Third Proportional to 28,256 and 42,354

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Solution

The third proportional to 28,256 and 42,354 is: 63,486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,256 : 42,354 = 42,354 : x
  2. Step 2: Convert to fraction form
    28,256/42,354 = 42,354/x
  3. Step 3: Cross multiply
    28,256x = 42,354 × 42,354
  4. Step 4: Simplify right side
    28,256x = 1,793,861,316
  5. Step 5: Solve for x
    x = 1,793,861,316/28,256
  6. Step 6: Final answer
    x = 63,486.03

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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.