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Finding the Third Proportional to 52,512 and 70,749

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Solution

The third proportional to 52,512 and 70,749 is: 95,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,512 : 70,749 = 70,749 : x
  2. Step 2: Convert to fraction form
    52,512/70,749 = 70,749/x
  3. Step 3: Cross multiply
    52,512x = 70,749 × 70,749
  4. Step 4: Simplify right side
    52,512x = 5,005,421,001
  5. Step 5: Solve for x
    x = 5,005,421,001/52,512
  6. Step 6: Final answer
    x = 95,319.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.