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Finding the Third Proportional to 25,042 and 39,000

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Solution

The third proportional to 25,042 and 39,000 is: 60,737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,042 : 39,000 = 39,000 : x
  2. Step 2: Convert to fraction form
    25,042/39,000 = 39,000/x
  3. Step 3: Cross multiply
    25,042x = 39,000 × 39,000
  4. Step 4: Simplify right side
    25,042x = 1,521,000,000
  5. Step 5: Solve for x
    x = 1,521,000,000/25,042
  6. Step 6: Final answer
    x = 60,737.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.