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Finding the Third Proportional to 20,748.66 and 31,143.66

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Solution

The third proportional to 20,748.66 and 31,143.66 is: 46,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,748.66 : 31,143.66 = 31,143.66 : x
  2. Step 2: Convert to fraction form
    20,748.66/31,143.66 = 31,143.66/x
  3. Step 3: Cross multiply
    20,748.66x = 31,143.66 × 31,143.66
  4. Step 4: Simplify right side
    20,748.66x = 969,927,324.62
  5. Step 5: Solve for x
    x = 969,927,324.62/20,748.66
  6. Step 6: Final answer
    x = 46,746.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.