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Finding the Third Proportional to 39,564 and 52,851

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Solution

The third proportional to 39,564 and 52,851 is: 70,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,564 : 52,851 = 52,851 : x
  2. Step 2: Convert to fraction form
    39,564/52,851 = 52,851/x
  3. Step 3: Cross multiply
    39,564x = 52,851 × 52,851
  4. Step 4: Simplify right side
    39,564x = 2,793,228,201
  5. Step 5: Solve for x
    x = 2,793,228,201/39,564
  6. Step 6: Final answer
    x = 70,600.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.