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Finding the Third Proportional to 30,412 and 75,000

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Solution

The third proportional to 30,412 and 75,000 is: 184,959.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412 : 75,000 = 75,000 : x
  2. Step 2: Convert to fraction form
    30,412/75,000 = 75,000/x
  3. Step 3: Cross multiply
    30,412x = 75,000 × 75,000
  4. Step 4: Simplify right side
    30,412x = 5,625,000,000
  5. Step 5: Solve for x
    x = 5,625,000,000/30,412
  6. Step 6: Final answer
    x = 184,959.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.