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Finding the Third Proportional to 14,400 and 22,500

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Solution

The third proportional to 14,400 and 22,500 is: 35,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400 : 22,500 = 22,500 : x
  2. Step 2: Convert to fraction form
    14,400/22,500 = 22,500/x
  3. Step 3: Cross multiply
    14,400x = 22,500 × 22,500
  4. Step 4: Simplify right side
    14,400x = 506,250,000
  5. Step 5: Solve for x
    x = 506,250,000/14,400
  6. Step 6: Final answer
    x = 35,156.25

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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.