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Finding the Third Proportional to 1,957.61 and 4,107.43

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Solution

The third proportional to 1,957.61 and 4,107.43 is: 8,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.61 : 4,107.43 = 4,107.43 : x
  2. Step 2: Convert to fraction form
    1,957.61/4,107.43 = 4,107.43/x
  3. Step 3: Cross multiply
    1,957.61x = 4,107.43 × 4,107.43
  4. Step 4: Simplify right side
    1,957.61x = 16,870,962.59
  5. Step 5: Solve for x
    x = 16,870,962.59/1,957.61
  6. Step 6: Final answer
    x = 8,618.16

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.