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Finding the Third Proportional to 21,025 and 31,627

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Solution

The third proportional to 21,025 and 31,627 is: 47,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,025 : 31,627 = 31,627 : x
  2. Step 2: Convert to fraction form
    21,025/31,627 = 31,627/x
  3. Step 3: Cross multiply
    21,025x = 31,627 × 31,627
  4. Step 4: Simplify right side
    21,025x = 1,000,267,129
  5. Step 5: Solve for x
    x = 1,000,267,129/21,025
  6. Step 6: Final answer
    x = 47,575.13

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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.