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Finding the Third Proportional to 3,605.75 and 7,730.50

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Solution

The third proportional to 3,605.75 and 7,730.50 is: 16,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.75 : 7,730.50 = 7,730.50 : x
  2. Step 2: Convert to fraction form
    3,605.75/7,730.50 = 7,730.50/x
  3. Step 3: Cross multiply
    3,605.75x = 7,730.50 × 7,730.50
  4. Step 4: Simplify right side
    3,605.75x = 59,760,630.25
  5. Step 5: Solve for x
    x = 59,760,630.25/3,605.75
  6. Step 6: Final answer
    x = 16,573.70

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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.