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Finding the Third Proportional to 23,502 and 36,409

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Solution

The third proportional to 23,502 and 36,409 is: 56,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502 : 36,409 = 36,409 : x
  2. Step 2: Convert to fraction form
    23,502/36,409 = 36,409/x
  3. Step 3: Cross multiply
    23,502x = 36,409 × 36,409
  4. Step 4: Simplify right side
    23,502x = 1,325,615,281
  5. Step 5: Solve for x
    x = 1,325,615,281/23,502
  6. Step 6: Final answer
    x = 56,404.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.