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Finding the Third Proportional to 15,918 and 19,254

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Solution

The third proportional to 15,918 and 19,254 is: 23,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,918 : 19,254 = 19,254 : x
  2. Step 2: Convert to fraction form
    15,918/19,254 = 19,254/x
  3. Step 3: Cross multiply
    15,918x = 19,254 × 19,254
  4. Step 4: Simplify right side
    15,918x = 370,716,516
  5. Step 5: Solve for x
    x = 370,716,516/15,918
  6. Step 6: Final answer
    x = 23,289.14

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.