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Finding the Third Proportional to 20,916.38 and 31,420.88

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Solution

The third proportional to 20,916.38 and 31,420.88 is: 47,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,916.38 : 31,420.88 = 31,420.88 : x
  2. Step 2: Convert to fraction form
    20,916.38/31,420.88 = 31,420.88/x
  3. Step 3: Cross multiply
    20,916.38x = 31,420.88 × 31,420.88
  4. Step 4: Simplify right side
    20,916.38x = 987,271,385.77
  5. Step 5: Solve for x
    x = 987,271,385.77/20,916.38
  6. Step 6: Final answer
    x = 47,200.88

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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.