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Finding the Third Proportional to 13,597 and 28,040

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Solution

The third proportional to 13,597 and 28,040 is: 57,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597 : 28,040 = 28,040 : x
  2. Step 2: Convert to fraction form
    13,597/28,040 = 28,040/x
  3. Step 3: Cross multiply
    13,597x = 28,040 × 28,040
  4. Step 4: Simplify right side
    13,597x = 786,241,600
  5. Step 5: Solve for x
    x = 786,241,600/13,597
  6. Step 6: Final answer
    x = 57,824.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.