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Finding the Third Proportional to 19,000 and 30,526

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Solution

The third proportional to 19,000 and 30,526 is: 49,044.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,000 : 30,526 = 30,526 : x
  2. Step 2: Convert to fraction form
    19,000/30,526 = 30,526/x
  3. Step 3: Cross multiply
    19,000x = 30,526 × 30,526
  4. Step 4: Simplify right side
    19,000x = 931,836,676
  5. Step 5: Solve for x
    x = 931,836,676/19,000
  6. Step 6: Final answer
    x = 49,044.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.