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Finding the Third Proportional to 20,392.50 and 31,516

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Solution

The third proportional to 20,392.50 and 31,516 is: 48,707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,392.50 : 31,516 = 31,516 : x
  2. Step 2: Convert to fraction form
    20,392.50/31,516 = 31,516/x
  3. Step 3: Cross multiply
    20,392.50x = 31,516 × 31,516
  4. Step 4: Simplify right side
    20,392.50x = 993,258,256
  5. Step 5: Solve for x
    x = 993,258,256/20,392.50
  6. Step 6: Final answer
    x = 48,707.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.