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Finding the Third Proportional to 1,931.91 and 3,709.90

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Solution

The third proportional to 1,931.91 and 3,709.90 is: 7,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.91 : 3,709.90 = 3,709.90 : x
  2. Step 2: Convert to fraction form
    1,931.91/3,709.90 = 3,709.90/x
  3. Step 3: Cross multiply
    1,931.91x = 3,709.90 × 3,709.90
  4. Step 4: Simplify right side
    1,931.91x = 13,763,346.42
  5. Step 5: Solve for x
    x = 13,763,346.42/1,931.91
  6. Step 6: Final answer
    x = 7,124.23

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.