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Finding the Third Proportional to 49,501.50 and 65,639.50

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Solution

The third proportional to 49,501.50 and 65,639.50 is: 87,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,501.50 : 65,639.50 = 65,639.50 : x
  2. Step 2: Convert to fraction form
    49,501.50/65,639.50 = 65,639.50/x
  3. Step 3: Cross multiply
    49,501.50x = 65,639.50 × 65,639.50
  4. Step 4: Simplify right side
    49,501.50x = 4,308,543,960.25
  5. Step 5: Solve for x
    x = 4,308,543,960.25/49,501.50
  6. Step 6: Final answer
    x = 87,038.65

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.