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Finding the Third Proportional to 39,135 and 55,762.50

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Solution

The third proportional to 39,135 and 55,762.50 is: 79,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,135 : 55,762.50 = 55,762.50 : x
  2. Step 2: Convert to fraction form
    39,135/55,762.50 = 55,762.50/x
  3. Step 3: Cross multiply
    39,135x = 55,762.50 × 55,762.50
  4. Step 4: Simplify right side
    39,135x = 3,109,456,406.25
  5. Step 5: Solve for x
    x = 3,109,456,406.25/39,135
  6. Step 6: Final answer
    x = 79,454.62

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.