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Finding the Third Proportional to 15,607 and 23,317

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Solution

The third proportional to 15,607 and 23,317 is: 34,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,607 : 23,317 = 23,317 : x
  2. Step 2: Convert to fraction form
    15,607/23,317 = 23,317/x
  3. Step 3: Cross multiply
    15,607x = 23,317 × 23,317
  4. Step 4: Simplify right side
    15,607x = 543,682,489
  5. Step 5: Solve for x
    x = 543,682,489/15,607
  6. Step 6: Final answer
    x = 34,835.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.