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Finding the Third Proportional to 29,692.69 and 64,711.13

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Solution

The third proportional to 29,692.69 and 64,711.13 is: 141,028.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692.69 : 64,711.13 = 64,711.13 : x
  2. Step 2: Convert to fraction form
    29,692.69/64,711.13 = 64,711.13/x
  3. Step 3: Cross multiply
    29,692.69x = 64,711.13 × 64,711.13
  4. Step 4: Simplify right side
    29,692.69x = 4,187,529,698.77
  5. Step 5: Solve for x
    x = 4,187,529,698.77/29,692.69
  6. Step 6: Final answer
    x = 141,028.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.