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Finding the Third Proportional to 24,480 and 50,409

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Solution

The third proportional to 24,480 and 50,409 is: 103,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,480 : 50,409 = 50,409 : x
  2. Step 2: Convert to fraction form
    24,480/50,409 = 50,409/x
  3. Step 3: Cross multiply
    24,480x = 50,409 × 50,409
  4. Step 4: Simplify right side
    24,480x = 2,541,067,281
  5. Step 5: Solve for x
    x = 2,541,067,281/24,480
  6. Step 6: Final answer
    x = 103,801.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.