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Finding the Third Proportional to 24,716 and 51,480

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Solution

The third proportional to 24,716 and 51,480 is: 107,225.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716 : 51,480 = 51,480 : x
  2. Step 2: Convert to fraction form
    24,716/51,480 = 51,480/x
  3. Step 3: Cross multiply
    24,716x = 51,480 × 51,480
  4. Step 4: Simplify right side
    24,716x = 2,650,190,400
  5. Step 5: Solve for x
    x = 2,650,190,400/24,716
  6. Step 6: Final answer
    x = 107,225.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.