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Finding the Third Proportional to 31,269.75 and 66,913.50

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Solution

The third proportional to 31,269.75 and 66,913.50 is: 143,186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,269.75 : 66,913.50 = 66,913.50 : x
  2. Step 2: Convert to fraction form
    31,269.75/66,913.50 = 66,913.50/x
  3. Step 3: Cross multiply
    31,269.75x = 66,913.50 × 66,913.50
  4. Step 4: Simplify right side
    31,269.75x = 4,477,416,482.25
  5. Step 5: Solve for x
    x = 4,477,416,482.25/31,269.75
  6. Step 6: Final answer
    x = 143,186.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.