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Finding the Third Proportional to 30,500 and 64,887

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Solution

The third proportional to 30,500 and 64,887 is: 138,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,500 : 64,887 = 64,887 : x
  2. Step 2: Convert to fraction form
    30,500/64,887 = 64,887/x
  3. Step 3: Cross multiply
    30,500x = 64,887 × 64,887
  4. Step 4: Simplify right side
    30,500x = 4,210,322,769
  5. Step 5: Solve for x
    x = 4,210,322,769/30,500
  6. Step 6: Final answer
    x = 138,043.37

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.