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Finding the Third Proportional to 7,023 and 14,154

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Solution

The third proportional to 7,023 and 14,154 is: 28,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023 : 14,154 = 14,154 : x
  2. Step 2: Convert to fraction form
    7,023/14,154 = 14,154/x
  3. Step 3: Cross multiply
    7,023x = 14,154 × 14,154
  4. Step 4: Simplify right side
    7,023x = 200,335,716
  5. Step 5: Solve for x
    x = 200,335,716/7,023
  6. Step 6: Final answer
    x = 28,525.66

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.