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Finding the Third Proportional to 49,531.50 and 53,743.50

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Solution

The third proportional to 49,531.50 and 53,743.50 is: 58,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,531.50 : 53,743.50 = 53,743.50 : x
  2. Step 2: Convert to fraction form
    49,531.50/53,743.50 = 53,743.50/x
  3. Step 3: Cross multiply
    49,531.50x = 53,743.50 × 53,743.50
  4. Step 4: Simplify right side
    49,531.50x = 2,888,363,792.25
  5. Step 5: Solve for x
    x = 2,888,363,792.25/49,531.50
  6. Step 6: Final answer
    x = 58,313.67

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.