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Finding the Third Proportional to 34,528.54 and 76,316.48

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Solution

The third proportional to 34,528.54 and 76,316.48 is: 168,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,528.54 : 76,316.48 = 76,316.48 : x
  2. Step 2: Convert to fraction form
    34,528.54/76,316.48 = 76,316.48/x
  3. Step 3: Cross multiply
    34,528.54x = 76,316.48 × 76,316.48
  4. Step 4: Simplify right side
    34,528.54x = 5,824,204,445.86
  5. Step 5: Solve for x
    x = 5,824,204,445.86/34,528.54
  6. Step 6: Final answer
    x = 168,677.96

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.