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Finding the Third Proportional to 14,506 and 19,162

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Solution

The third proportional to 14,506 and 19,162 is: 25,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506 : 19,162 = 19,162 : x
  2. Step 2: Convert to fraction form
    14,506/19,162 = 19,162/x
  3. Step 3: Cross multiply
    14,506x = 19,162 × 19,162
  4. Step 4: Simplify right side
    14,506x = 367,182,244
  5. Step 5: Solve for x
    x = 367,182,244/14,506
  6. Step 6: Final answer
    x = 25,312.44

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.