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Finding the Third Proportional to 10,402 and 24,728

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Solution

The third proportional to 10,402 and 24,728 is: 58,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402 : 24,728 = 24,728 : x
  2. Step 2: Convert to fraction form
    10,402/24,728 = 24,728/x
  3. Step 3: Cross multiply
    10,402x = 24,728 × 24,728
  4. Step 4: Simplify right side
    10,402x = 611,473,984
  5. Step 5: Solve for x
    x = 611,473,984/10,402
  6. Step 6: Final answer
    x = 58,784.27

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.