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Finding the Third Proportional to 15,338 and 23,084

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Solution

The third proportional to 15,338 and 23,084 is: 34,741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,338 : 23,084 = 23,084 : x
  2. Step 2: Convert to fraction form
    15,338/23,084 = 23,084/x
  3. Step 3: Cross multiply
    15,338x = 23,084 × 23,084
  4. Step 4: Simplify right side
    15,338x = 532,871,056
  5. Step 5: Solve for x
    x = 532,871,056/15,338
  6. Step 6: Final answer
    x = 34,741.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.