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Finding the Third Proportional to 30,147.19 and 43,276.78

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Solution

The third proportional to 30,147.19 and 43,276.78 is: 62,124.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,147.19 : 43,276.78 = 43,276.78 : x
  2. Step 2: Convert to fraction form
    30,147.19/43,276.78 = 43,276.78/x
  3. Step 3: Cross multiply
    30,147.19x = 43,276.78 × 43,276.78
  4. Step 4: Simplify right side
    30,147.19x = 1,872,879,795.36
  5. Step 5: Solve for x
    x = 1,872,879,795.36/30,147.19
  6. Step 6: Final answer
    x = 62,124.53

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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.