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Finding the Third Proportional to 21,310.59 and 31,966.31

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Solution

The third proportional to 21,310.59 and 31,966.31 is: 47,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,310.59 : 31,966.31 = 31,966.31 : x
  2. Step 2: Convert to fraction form
    21,310.59/31,966.31 = 31,966.31/x
  3. Step 3: Cross multiply
    21,310.59x = 31,966.31 × 31,966.31
  4. Step 4: Simplify right side
    21,310.59x = 1,021,845,134.85
  5. Step 5: Solve for x
    x = 1,021,845,134.85/21,310.59
  6. Step 6: Final answer
    x = 47,950.10

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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.