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Finding the Third Proportional to 24,402 and 35,676

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Solution

The third proportional to 24,402 and 35,676 is: 52,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,402 : 35,676 = 35,676 : x
  2. Step 2: Convert to fraction form
    24,402/35,676 = 35,676/x
  3. Step 3: Cross multiply
    24,402x = 35,676 × 35,676
  4. Step 4: Simplify right side
    24,402x = 1,272,776,976
  5. Step 5: Solve for x
    x = 1,272,776,976/24,402
  6. Step 6: Final answer
    x = 52,158.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.