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Finding the Third Proportional to 1,852.88 and 3,472.88

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Solution

The third proportional to 1,852.88 and 3,472.88 is: 6,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.88 : 3,472.88 = 3,472.88 : x
  2. Step 2: Convert to fraction form
    1,852.88/3,472.88 = 3,472.88/x
  3. Step 3: Cross multiply
    1,852.88x = 3,472.88 × 3,472.88
  4. Step 4: Simplify right side
    1,852.88x = 12,060,860.77
  5. Step 5: Solve for x
    x = 12,060,860.77/1,852.88
  6. Step 6: Final answer
    x = 6,509.27

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.