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Finding the Third Proportional to 1,938.94 and 3,904.88

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Solution

The third proportional to 1,938.94 and 3,904.88 is: 7,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.94 : 3,904.88 = 3,904.88 : x
  2. Step 2: Convert to fraction form
    1,938.94/3,904.88 = 3,904.88/x
  3. Step 3: Cross multiply
    1,938.94x = 3,904.88 × 3,904.88
  4. Step 4: Simplify right side
    1,938.94x = 15,248,048.77
  5. Step 5: Solve for x
    x = 15,248,048.77/1,938.94
  6. Step 6: Final answer
    x = 7,864.13

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.