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Finding the Third Proportional to 14,672 and 22,700

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Solution

The third proportional to 14,672 and 22,700 is: 35,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,672 : 22,700 = 22,700 : x
  2. Step 2: Convert to fraction form
    14,672/22,700 = 22,700/x
  3. Step 3: Cross multiply
    14,672x = 22,700 × 22,700
  4. Step 4: Simplify right side
    14,672x = 515,290,000
  5. Step 5: Solve for x
    x = 515,290,000/14,672
  6. Step 6: Final answer
    x = 35,120.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.