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Finding the Third Proportional to 45,210 and 59,796

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Solution

The third proportional to 45,210 and 59,796 is: 79,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,210 : 59,796 = 59,796 : x
  2. Step 2: Convert to fraction form
    45,210/59,796 = 59,796/x
  3. Step 3: Cross multiply
    45,210x = 59,796 × 59,796
  4. Step 4: Simplify right side
    45,210x = 3,575,561,616
  5. Step 5: Solve for x
    x = 3,575,561,616/45,210
  6. Step 6: Final answer
    x = 79,087.85

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.