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Finding the Third Proportional to 13,454 and 26,565

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Solution

The third proportional to 13,454 and 26,565 is: 52,452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454 : 26,565 = 26,565 : x
  2. Step 2: Convert to fraction form
    13,454/26,565 = 26,565/x
  3. Step 3: Cross multiply
    13,454x = 26,565 × 26,565
  4. Step 4: Simplify right side
    13,454x = 705,699,225
  5. Step 5: Solve for x
    x = 705,699,225/13,454
  6. Step 6: Final answer
    x = 52,452.74

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.