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Finding the Third Proportional to 11,594 and 16,905

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Solution

The third proportional to 11,594 and 16,905 is: 24,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594 : 16,905 = 16,905 : x
  2. Step 2: Convert to fraction form
    11,594/16,905 = 16,905/x
  3. Step 3: Cross multiply
    11,594x = 16,905 × 16,905
  4. Step 4: Simplify right side
    11,594x = 285,779,025
  5. Step 5: Solve for x
    x = 285,779,025/11,594
  6. Step 6: Final answer
    x = 24,648.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.