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Finding the Third Proportional to 1,905.50 and 4,160.13

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Solution

The third proportional to 1,905.50 and 4,160.13 is: 9,082.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.50 : 4,160.13 = 4,160.13 : x
  2. Step 2: Convert to fraction form
    1,905.50/4,160.13 = 4,160.13/x
  3. Step 3: Cross multiply
    1,905.50x = 4,160.13 × 4,160.13
  4. Step 4: Simplify right side
    1,905.50x = 17,306,640.02
  5. Step 5: Solve for x
    x = 17,306,640.02/1,905.50
  6. Step 6: Final answer
    x = 9,082.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.