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Finding the Third Proportional to 44,632.50 and 69,166.50

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Solution

The third proportional to 44,632.50 and 69,166.50 is: 107,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,632.50 : 69,166.50 = 69,166.50 : x
  2. Step 2: Convert to fraction form
    44,632.50/69,166.50 = 69,166.50/x
  3. Step 3: Cross multiply
    44,632.50x = 69,166.50 × 69,166.50
  4. Step 4: Simplify right side
    44,632.50x = 4,784,004,722.25
  5. Step 5: Solve for x
    x = 4,784,004,722.25/44,632.50
  6. Step 6: Final answer
    x = 107,186.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.