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Finding the Third Proportional to 38,911.50 and 56,301.75

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Solution

The third proportional to 38,911.50 and 56,301.75 is: 81,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,911.50 : 56,301.75 = 56,301.75 : x
  2. Step 2: Convert to fraction form
    38,911.50/56,301.75 = 56,301.75/x
  3. Step 3: Cross multiply
    38,911.50x = 56,301.75 × 56,301.75
  4. Step 4: Simplify right side
    38,911.50x = 3,169,887,053.06
  5. Step 5: Solve for x
    x = 3,169,887,053.06/38,911.50
  6. Step 6: Final answer
    x = 81,464.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.