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Finding the Third Proportional to 13,000 and 17,040

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Solution

The third proportional to 13,000 and 17,040 is: 22,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000 : 17,040 = 17,040 : x
  2. Step 2: Convert to fraction form
    13,000/17,040 = 17,040/x
  3. Step 3: Cross multiply
    13,000x = 17,040 × 17,040
  4. Step 4: Simplify right side
    13,000x = 290,361,600
  5. Step 5: Solve for x
    x = 290,361,600/13,000
  6. Step 6: Final answer
    x = 22,335.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.