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Finding the Third Proportional to 32,850 and 52,692

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Solution

The third proportional to 32,850 and 52,692 is: 84,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,850 : 52,692 = 52,692 : x
  2. Step 2: Convert to fraction form
    32,850/52,692 = 52,692/x
  3. Step 3: Cross multiply
    32,850x = 52,692 × 52,692
  4. Step 4: Simplify right side
    32,850x = 2,776,446,864
  5. Step 5: Solve for x
    x = 2,776,446,864/32,850
  6. Step 6: Final answer
    x = 84,518.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.