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Finding the Third Proportional to 882.25 and 1,878.63

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Solution

The third proportional to 882.25 and 1,878.63 is: 4,000.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.25 : 1,878.63 = 1,878.63 : x
  2. Step 2: Convert to fraction form
    882.25/1,878.63 = 1,878.63/x
  3. Step 3: Cross multiply
    882.25x = 1,878.63 × 1,878.63
  4. Step 4: Simplify right side
    882.25x = 3,529,231.89
  5. Step 5: Solve for x
    x = 3,529,231.89/882.25
  6. Step 6: Final answer
    x = 4,000.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.