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Finding the Third Proportional to 31,228.50 and 64,887

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Solution

The third proportional to 31,228.50 and 64,887 is: 134,823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,228.50 : 64,887 = 64,887 : x
  2. Step 2: Convert to fraction form
    31,228.50/64,887 = 64,887/x
  3. Step 3: Cross multiply
    31,228.50x = 64,887 × 64,887
  4. Step 4: Simplify right side
    31,228.50x = 4,210,322,769
  5. Step 5: Solve for x
    x = 4,210,322,769/31,228.50
  6. Step 6: Final answer
    x = 134,823.09

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.