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Finding the Third Proportional to 32,632.50 and 62,671.50

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Solution

The third proportional to 32,632.50 and 62,671.50 is: 120,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,632.50 : 62,671.50 = 62,671.50 : x
  2. Step 2: Convert to fraction form
    32,632.50/62,671.50 = 62,671.50/x
  3. Step 3: Cross multiply
    32,632.50x = 62,671.50 × 62,671.50
  4. Step 4: Simplify right side
    32,632.50x = 3,927,716,912.25
  5. Step 5: Solve for x
    x = 3,927,716,912.25/32,632.50
  6. Step 6: Final answer
    x = 120,362.12

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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.