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Finding the Third Proportional to 12,594 and 26,684

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Solution

The third proportional to 12,594 and 26,684 is: 56,537.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594 : 26,684 = 26,684 : x
  2. Step 2: Convert to fraction form
    12,594/26,684 = 26,684/x
  3. Step 3: Cross multiply
    12,594x = 26,684 × 26,684
  4. Step 4: Simplify right side
    12,594x = 712,035,856
  5. Step 5: Solve for x
    x = 712,035,856/12,594
  6. Step 6: Final answer
    x = 56,537.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.