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Finding the Third Proportional to 32,085 and 51,692.25

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Solution

The third proportional to 32,085 and 51,692.25 is: 83,281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,085 : 51,692.25 = 51,692.25 : x
  2. Step 2: Convert to fraction form
    32,085/51,692.25 = 51,692.25/x
  3. Step 3: Cross multiply
    32,085x = 51,692.25 × 51,692.25
  4. Step 4: Simplify right side
    32,085x = 2,672,088,710.06
  5. Step 5: Solve for x
    x = 2,672,088,710.06/32,085
  6. Step 6: Final answer
    x = 83,281.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.