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Finding the Third Proportional to 50,580 and 72,858

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Solution

The third proportional to 50,580 and 72,858 is: 104,948.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,580 : 72,858 = 72,858 : x
  2. Step 2: Convert to fraction form
    50,580/72,858 = 72,858/x
  3. Step 3: Cross multiply
    50,580x = 72,858 × 72,858
  4. Step 4: Simplify right side
    50,580x = 5,308,288,164
  5. Step 5: Solve for x
    x = 5,308,288,164/50,580
  6. Step 6: Final answer
    x = 104,948.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.