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Finding the Third Proportional to 32,839.17 and 52,675.95

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Solution

The third proportional to 32,839.17 and 52,675.95 is: 84,495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,839.17 : 52,675.95 = 52,675.95 : x
  2. Step 2: Convert to fraction form
    32,839.17/52,675.95 = 52,675.95/x
  3. Step 3: Cross multiply
    32,839.17x = 52,675.95 × 52,675.95
  4. Step 4: Simplify right side
    32,839.17x = 2,774,755,214.57
  5. Step 5: Solve for x
    x = 2,774,755,214.57/32,839.17
  6. Step 6: Final answer
    x = 84,495.29

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