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Finding the Third Proportional to 51,610.22 and 75,423.66

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Solution

The third proportional to 51,610.22 and 75,423.66 is: 110,224.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,610.22 : 75,423.66 = 75,423.66 : x
  2. Step 2: Convert to fraction form
    51,610.22/75,423.66 = 75,423.66/x
  3. Step 3: Cross multiply
    51,610.22x = 75,423.66 × 75,423.66
  4. Step 4: Simplify right side
    51,610.22x = 5,688,727,922.12
  5. Step 5: Solve for x
    x = 5,688,727,922.12/51,610.22
  6. Step 6: Final answer
    x = 110,224.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.