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Finding the Third Proportional to 20,960.63 and 31,156.13

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Solution

The third proportional to 20,960.63 and 31,156.13 is: 46,310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,960.63 : 31,156.13 = 31,156.13 : x
  2. Step 2: Convert to fraction form
    20,960.63/31,156.13 = 31,156.13/x
  3. Step 3: Cross multiply
    20,960.63x = 31,156.13 × 31,156.13
  4. Step 4: Simplify right side
    20,960.63x = 970,704,125.02
  5. Step 5: Solve for x
    x = 970,704,125.02/20,960.63
  6. Step 6: Final answer
    x = 46,310.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.