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Finding the Third Proportional to 47,684.25 and 75,489.75

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Solution

The third proportional to 47,684.25 and 75,489.75 is: 119,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,684.25 : 75,489.75 = 75,489.75 : x
  2. Step 2: Convert to fraction form
    47,684.25/75,489.75 = 75,489.75/x
  3. Step 3: Cross multiply
    47,684.25x = 75,489.75 × 75,489.75
  4. Step 4: Simplify right side
    47,684.25x = 5,698,702,355.06
  5. Step 5: Solve for x
    x = 5,698,702,355.06/47,684.25
  6. Step 6: Final answer
    x = 119,509.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.