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Finding the Third Proportional to 5,765.63 and 9,052.88

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Solution

The third proportional to 5,765.63 and 9,052.88 is: 14,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.63 : 9,052.88 = 9,052.88 : x
  2. Step 2: Convert to fraction form
    5,765.63/9,052.88 = 9,052.88/x
  3. Step 3: Cross multiply
    5,765.63x = 9,052.88 × 9,052.88
  4. Step 4: Simplify right side
    5,765.63x = 81,954,545.77
  5. Step 5: Solve for x
    x = 81,954,545.77/5,765.63
  6. Step 6: Final answer
    x = 14,214.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.