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Finding the Third Proportional to 19,254 and 25,958

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Solution

The third proportional to 19,254 and 25,958 is: 34,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,254 : 25,958 = 25,958 : x
  2. Step 2: Convert to fraction form
    19,254/25,958 = 25,958/x
  3. Step 3: Cross multiply
    19,254x = 25,958 × 25,958
  4. Step 4: Simplify right side
    19,254x = 673,817,764
  5. Step 5: Solve for x
    x = 673,817,764/19,254
  6. Step 6: Final answer
    x = 34,996.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.