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Finding the Third Proportional to 19,097 and 24,817

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Solution

The third proportional to 19,097 and 24,817 is: 32,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,097 : 24,817 = 24,817 : x
  2. Step 2: Convert to fraction form
    19,097/24,817 = 24,817/x
  3. Step 3: Cross multiply
    19,097x = 24,817 × 24,817
  4. Step 4: Simplify right side
    19,097x = 615,883,489
  5. Step 5: Solve for x
    x = 615,883,489/19,097
  6. Step 6: Final answer
    x = 32,250.27

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.