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Finding the Third Proportional to 882.84 and 2,052.98

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Solution

The third proportional to 882.84 and 2,052.98 is: 4,774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.84 : 2,052.98 = 2,052.98 : x
  2. Step 2: Convert to fraction form
    882.84/2,052.98 = 2,052.98/x
  3. Step 3: Cross multiply
    882.84x = 2,052.98 × 2,052.98
  4. Step 4: Simplify right side
    882.84x = 4,214,744.84
  5. Step 5: Solve for x
    x = 4,214,744.84/882.84
  6. Step 6: Final answer
    x = 4,774.06

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.