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Finding the Third Proportional to 18,596 and 28,928

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Solution

The third proportional to 18,596 and 28,928 is: 45,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,596 : 28,928 = 28,928 : x
  2. Step 2: Convert to fraction form
    18,596/28,928 = 28,928/x
  3. Step 3: Cross multiply
    18,596x = 28,928 × 28,928
  4. Step 4: Simplify right side
    18,596x = 836,829,184
  5. Step 5: Solve for x
    x = 836,829,184/18,596
  6. Step 6: Final answer
    x = 45,000.49

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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.