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Finding the Third Proportional to 21,523 and 32,284

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Solution

The third proportional to 21,523 and 32,284 is: 48,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523 : 32,284 = 32,284 : x
  2. Step 2: Convert to fraction form
    21,523/32,284 = 32,284/x
  3. Step 3: Cross multiply
    21,523x = 32,284 × 32,284
  4. Step 4: Simplify right side
    21,523x = 1,042,256,656
  5. Step 5: Solve for x
    x = 1,042,256,656/21,523
  6. Step 6: Final answer
    x = 48,425.25

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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.