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Finding the Third Proportional to 9,752.60 and 20,985.27

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Solution

The third proportional to 9,752.60 and 20,985.27 is: 45,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.60 : 20,985.27 = 20,985.27 : x
  2. Step 2: Convert to fraction form
    9,752.60/20,985.27 = 20,985.27/x
  3. Step 3: Cross multiply
    9,752.60x = 20,985.27 × 20,985.27
  4. Step 4: Simplify right side
    9,752.60x = 440,381,506.56
  5. Step 5: Solve for x
    x = 440,381,506.56/9,752.60
  6. Step 6: Final answer
    x = 45,155.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.