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Finding the Third Proportional to 10,476 and 16,348.50

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Solution

The third proportional to 10,476 and 16,348.50 is: 25,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476 : 16,348.50 = 16,348.50 : x
  2. Step 2: Convert to fraction form
    10,476/16,348.50 = 16,348.50/x
  3. Step 3: Cross multiply
    10,476x = 16,348.50 × 16,348.50
  4. Step 4: Simplify right side
    10,476x = 267,273,452.25
  5. Step 5: Solve for x
    x = 267,273,452.25/10,476
  6. Step 6: Final answer
    x = 25,512.93

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.