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Finding the Third Proportional to 34,572 and 52,175.25

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Solution

The third proportional to 34,572 and 52,175.25 is: 78,741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,572 : 52,175.25 = 52,175.25 : x
  2. Step 2: Convert to fraction form
    34,572/52,175.25 = 52,175.25/x
  3. Step 3: Cross multiply
    34,572x = 52,175.25 × 52,175.25
  4. Step 4: Simplify right side
    34,572x = 2,722,256,712.56
  5. Step 5: Solve for x
    x = 2,722,256,712.56/34,572
  6. Step 6: Final answer
    x = 78,741.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.