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Finding the Third Proportional to 24,000.75 and 32,112

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Solution

The third proportional to 24,000.75 and 32,112 is: 42,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000.75 : 32,112 = 32,112 : x
  2. Step 2: Convert to fraction form
    24,000.75/32,112 = 32,112/x
  3. Step 3: Cross multiply
    24,000.75x = 32,112 × 32,112
  4. Step 4: Simplify right side
    24,000.75x = 1,031,180,544
  5. Step 5: Solve for x
    x = 1,031,180,544/24,000.75
  6. Step 6: Final answer
    x = 42,964.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.