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Finding the Third Proportional to 2,107.13 and 2,478.38

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Solution

The third proportional to 2,107.13 and 2,478.38 is: 2,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.13 : 2,478.38 = 2,478.38 : x
  2. Step 2: Convert to fraction form
    2,107.13/2,478.38 = 2,478.38/x
  3. Step 3: Cross multiply
    2,107.13x = 2,478.38 × 2,478.38
  4. Step 4: Simplify right side
    2,107.13x = 6,142,342.64
  5. Step 5: Solve for x
    x = 6,142,342.64/2,107.13
  6. Step 6: Final answer
    x = 2,915.03

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.