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Finding the Third Proportional to 39,750.50 and 53,793.75

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Solution

The third proportional to 39,750.50 and 53,793.75 is: 72,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,750.50 : 53,793.75 = 53,793.75 : x
  2. Step 2: Convert to fraction form
    39,750.50/53,793.75 = 53,793.75/x
  3. Step 3: Cross multiply
    39,750.50x = 53,793.75 × 53,793.75
  4. Step 4: Simplify right side
    39,750.50x = 2,893,767,539.06
  5. Step 5: Solve for x
    x = 2,893,767,539.06/39,750.50
  6. Step 6: Final answer
    x = 72,798.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.