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Finding the Third Proportional to 888.47 and 1,868.06

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Solution

The third proportional to 888.47 and 1,868.06 is: 3,927.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.47 : 1,868.06 = 1,868.06 : x
  2. Step 2: Convert to fraction form
    888.47/1,868.06 = 1,868.06/x
  3. Step 3: Cross multiply
    888.47x = 1,868.06 × 1,868.06
  4. Step 4: Simplify right side
    888.47x = 3,489,657.50
  5. Step 5: Solve for x
    x = 3,489,657.50/888.47
  6. Step 6: Final answer
    x = 3,927.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.