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Finding the Third Proportional to 29,106.50 and 55,964.50

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Solution

The third proportional to 29,106.50 and 55,964.50 is: 107,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,106.50 : 55,964.50 = 55,964.50 : x
  2. Step 2: Convert to fraction form
    29,106.50/55,964.50 = 55,964.50/x
  3. Step 3: Cross multiply
    29,106.50x = 55,964.50 × 55,964.50
  4. Step 4: Simplify right side
    29,106.50x = 3,132,025,260.25
  5. Step 5: Solve for x
    x = 3,132,025,260.25/29,106.50
  6. Step 6: Final answer
    x = 107,605.70

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.