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Finding the Third Proportional to 12,000 and 28,032

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Solution

The third proportional to 12,000 and 28,032 is: 65,482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000 : 28,032 = 28,032 : x
  2. Step 2: Convert to fraction form
    12,000/28,032 = 28,032/x
  3. Step 3: Cross multiply
    12,000x = 28,032 × 28,032
  4. Step 4: Simplify right side
    12,000x = 785,793,024
  5. Step 5: Solve for x
    x = 785,793,024/12,000
  6. Step 6: Final answer
    x = 65,482.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.