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Finding the Third Proportional to 34,673.06 and 52,161.47

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Solution

The third proportional to 34,673.06 and 52,161.47 is: 78,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,673.06 : 52,161.47 = 52,161.47 : x
  2. Step 2: Convert to fraction form
    34,673.06/52,161.47 = 52,161.47/x
  3. Step 3: Cross multiply
    34,673.06x = 52,161.47 × 52,161.47
  4. Step 4: Simplify right side
    34,673.06x = 2,720,818,822.16
  5. Step 5: Solve for x
    x = 2,720,818,822.16/34,673.06
  6. Step 6: Final answer
    x = 78,470.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.