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Finding the Third Proportional to 5,370 and 13,929

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Solution

The third proportional to 5,370 and 13,929 is: 36,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370 : 13,929 = 13,929 : x
  2. Step 2: Convert to fraction form
    5,370/13,929 = 13,929/x
  3. Step 3: Cross multiply
    5,370x = 13,929 × 13,929
  4. Step 4: Simplify right side
    5,370x = 194,017,041
  5. Step 5: Solve for x
    x = 194,017,041/5,370
  6. Step 6: Final answer
    x = 36,129.80

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.