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Finding the Third Proportional to 46,686.38 and 67,113.56

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Solution

The third proportional to 46,686.38 and 67,113.56 is: 96,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,686.38 : 67,113.56 = 67,113.56 : x
  2. Step 2: Convert to fraction form
    46,686.38/67,113.56 = 67,113.56/x
  3. Step 3: Cross multiply
    46,686.38x = 67,113.56 × 67,113.56
  4. Step 4: Simplify right side
    46,686.38x = 4,504,230,271.44
  5. Step 5: Solve for x
    x = 4,504,230,271.44/46,686.38
  6. Step 6: Final answer
    x = 96,478.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.