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Finding the Third Proportional to 24,000 and 34,560

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Solution

The third proportional to 24,000 and 34,560 is: 49,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000 : 34,560 = 34,560 : x
  2. Step 2: Convert to fraction form
    24,000/34,560 = 34,560/x
  3. Step 3: Cross multiply
    24,000x = 34,560 × 34,560
  4. Step 4: Simplify right side
    24,000x = 1,194,393,600
  5. Step 5: Solve for x
    x = 1,194,393,600/24,000
  6. Step 6: Final answer
    x = 49,766.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.