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Finding the Third Proportional to 51,813 and 70,642.13

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Solution

The third proportional to 51,813 and 70,642.13 is: 96,313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,813 : 70,642.13 = 70,642.13 : x
  2. Step 2: Convert to fraction form
    51,813/70,642.13 = 70,642.13/x
  3. Step 3: Cross multiply
    51,813x = 70,642.13 × 70,642.13
  4. Step 4: Simplify right side
    51,813x = 4,990,309,824.52
  5. Step 5: Solve for x
    x = 4,990,309,824.52/51,813
  6. Step 6: Final answer
    x = 96,313.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.