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Finding the Third Proportional to 49,259.25 and 71,734.50

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Solution

The third proportional to 49,259.25 and 71,734.50 is: 104,464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,259.25 : 71,734.50 = 71,734.50 : x
  2. Step 2: Convert to fraction form
    49,259.25/71,734.50 = 71,734.50/x
  3. Step 3: Cross multiply
    49,259.25x = 71,734.50 × 71,734.50
  4. Step 4: Simplify right side
    49,259.25x = 5,145,838,490.25
  5. Step 5: Solve for x
    x = 5,145,838,490.25/49,259.25
  6. Step 6: Final answer
    x = 104,464.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.