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Finding the Third Proportional to 26,461 and 62,430

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Solution

The third proportional to 26,461 and 62,430 is: 147,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,461 : 62,430 = 62,430 : x
  2. Step 2: Convert to fraction form
    26,461/62,430 = 62,430/x
  3. Step 3: Cross multiply
    26,461x = 62,430 × 62,430
  4. Step 4: Simplify right side
    26,461x = 3,897,504,900
  5. Step 5: Solve for x
    x = 3,897,504,900/26,461
  6. Step 6: Final answer
    x = 147,292.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.