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Finding the Third Proportional to 15,463 and 23,154

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Solution

The third proportional to 15,463 and 23,154 is: 34,670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,463 : 23,154 = 23,154 : x
  2. Step 2: Convert to fraction form
    15,463/23,154 = 23,154/x
  3. Step 3: Cross multiply
    15,463x = 23,154 × 23,154
  4. Step 4: Simplify right side
    15,463x = 536,107,716
  5. Step 5: Solve for x
    x = 536,107,716/15,463
  6. Step 6: Final answer
    x = 34,670.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.