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Finding the Third Proportional to 1,631.81 and 2,605.50

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Solution

The third proportional to 1,631.81 and 2,605.50 is: 4,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.81 : 2,605.50 = 2,605.50 : x
  2. Step 2: Convert to fraction form
    1,631.81/2,605.50 = 2,605.50/x
  3. Step 3: Cross multiply
    1,631.81x = 2,605.50 × 2,605.50
  4. Step 4: Simplify right side
    1,631.81x = 6,788,630.25
  5. Step 5: Solve for x
    x = 6,788,630.25/1,631.81
  6. Step 6: Final answer
    x = 4,160.18

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.