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Finding the Third Proportional to 11,402 and 24,507

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Solution

The third proportional to 11,402 and 24,507 is: 52,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402 : 24,507 = 24,507 : x
  2. Step 2: Convert to fraction form
    11,402/24,507 = 24,507/x
  3. Step 3: Cross multiply
    11,402x = 24,507 × 24,507
  4. Step 4: Simplify right side
    11,402x = 600,593,049
  5. Step 5: Solve for x
    x = 600,593,049/11,402
  6. Step 6: Final answer
    x = 52,674.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.