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Finding the Third Proportional to 10,392 and 24,000

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Solution

The third proportional to 10,392 and 24,000 is: 55,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392 : 24,000 = 24,000 : x
  2. Step 2: Convert to fraction form
    10,392/24,000 = 24,000/x
  3. Step 3: Cross multiply
    10,392x = 24,000 × 24,000
  4. Step 4: Simplify right side
    10,392x = 576,000,000
  5. Step 5: Solve for x
    x = 576,000,000/10,392
  6. Step 6: Final answer
    x = 55,427.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.