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Finding the Third Proportional to 32,796 and 71,430.75

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Solution

The third proportional to 32,796 and 71,430.75 is: 155,578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,796 : 71,430.75 = 71,430.75 : x
  2. Step 2: Convert to fraction form
    32,796/71,430.75 = 71,430.75/x
  3. Step 3: Cross multiply
    32,796x = 71,430.75 × 71,430.75
  4. Step 4: Simplify right side
    32,796x = 5,102,352,045.56
  5. Step 5: Solve for x
    x = 5,102,352,045.56/32,796
  6. Step 6: Final answer
    x = 155,578.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.