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Finding the Third Proportional to 30,886.50 and 62,865.75

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Solution

The third proportional to 30,886.50 and 62,865.75 is: 127,955.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886.50 : 62,865.75 = 62,865.75 : x
  2. Step 2: Convert to fraction form
    30,886.50/62,865.75 = 62,865.75/x
  3. Step 3: Cross multiply
    30,886.50x = 62,865.75 × 62,865.75
  4. Step 4: Simplify right side
    30,886.50x = 3,952,102,523.06
  5. Step 5: Solve for x
    x = 3,952,102,523.06/30,886.50
  6. Step 6: Final answer
    x = 127,955.66

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.