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Finding the Third Proportional to 15,617 and 23,817

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Solution

The third proportional to 15,617 and 23,817 is: 36,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,617 : 23,817 = 23,817 : x
  2. Step 2: Convert to fraction form
    15,617/23,817 = 23,817/x
  3. Step 3: Cross multiply
    15,617x = 23,817 × 23,817
  4. Step 4: Simplify right side
    15,617x = 567,249,489
  5. Step 5: Solve for x
    x = 567,249,489/15,617
  6. Step 6: Final answer
    x = 36,322.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.