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Finding the Third Proportional to 32,428.50 and 69,859.50

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Solution

The third proportional to 32,428.50 and 69,859.50 is: 150,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,428.50 : 69,859.50 = 69,859.50 : x
  2. Step 2: Convert to fraction form
    32,428.50/69,859.50 = 69,859.50/x
  3. Step 3: Cross multiply
    32,428.50x = 69,859.50 × 69,859.50
  4. Step 4: Simplify right side
    32,428.50x = 4,880,349,740.25
  5. Step 5: Solve for x
    x = 4,880,349,740.25/32,428.50
  6. Step 6: Final answer
    x = 150,495.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.