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Finding the Third Proportional to 31,250.25 and 63,661.50

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Solution

The third proportional to 31,250.25 and 63,661.50 is: 129,688.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,250.25 : 63,661.50 = 63,661.50 : x
  2. Step 2: Convert to fraction form
    31,250.25/63,661.50 = 63,661.50/x
  3. Step 3: Cross multiply
    31,250.25x = 63,661.50 × 63,661.50
  4. Step 4: Simplify right side
    31,250.25x = 4,052,786,582.25
  5. Step 5: Solve for x
    x = 4,052,786,582.25/31,250.25
  6. Step 6: Final answer
    x = 129,688.13

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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.