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Finding the Third Proportional to 9,076.90 and 12,254.89

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Solution

The third proportional to 9,076.90 and 12,254.89 is: 16,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.90 : 12,254.89 = 12,254.89 : x
  2. Step 2: Convert to fraction form
    9,076.90/12,254.89 = 12,254.89/x
  3. Step 3: Cross multiply
    9,076.90x = 12,254.89 × 12,254.89
  4. Step 4: Simplify right side
    9,076.90x = 150,182,296.36
  5. Step 5: Solve for x
    x = 150,182,296.36/9,076.90
  6. Step 6: Final answer
    x = 16,545.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.