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Finding the Third Proportional to 8,765.09 and 11,746.58

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Solution

The third proportional to 8,765.09 and 11,746.58 is: 15,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.09 : 11,746.58 = 11,746.58 : x
  2. Step 2: Convert to fraction form
    8,765.09/11,746.58 = 11,746.58/x
  3. Step 3: Cross multiply
    8,765.09x = 11,746.58 × 11,746.58
  4. Step 4: Simplify right side
    8,765.09x = 137,982,189.42
  5. Step 5: Solve for x
    x = 137,982,189.42/8,765.09
  6. Step 6: Final answer
    x = 15,742.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.