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Finding the Third Proportional to 39,811.50 and 50,468.06

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Solution

The third proportional to 39,811.50 and 50,468.06 is: 63,977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,811.50 : 50,468.06 = 50,468.06 : x
  2. Step 2: Convert to fraction form
    39,811.50/50,468.06 = 50,468.06/x
  3. Step 3: Cross multiply
    39,811.50x = 50,468.06 × 50,468.06
  4. Step 4: Simplify right side
    39,811.50x = 2,547,025,332.50
  5. Step 5: Solve for x
    x = 2,547,025,332.50/39,811.50
  6. Step 6: Final answer
    x = 63,977.13

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.