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Finding the Third Proportional to 12,260 and 17,430

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Solution

The third proportional to 12,260 and 17,430 is: 24,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,260 : 17,430 = 17,430 : x
  2. Step 2: Convert to fraction form
    12,260/17,430 = 17,430/x
  3. Step 3: Cross multiply
    12,260x = 17,430 × 17,430
  4. Step 4: Simplify right side
    12,260x = 303,804,900
  5. Step 5: Solve for x
    x = 303,804,900/12,260
  6. Step 6: Final answer
    x = 24,780.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.