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Finding the Third Proportional to 15,102 and 23,337

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Solution

The third proportional to 15,102 and 23,337 is: 36,062.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102 : 23,337 = 23,337 : x
  2. Step 2: Convert to fraction form
    15,102/23,337 = 23,337/x
  3. Step 3: Cross multiply
    15,102x = 23,337 × 23,337
  4. Step 4: Simplify right side
    15,102x = 544,615,569
  5. Step 5: Solve for x
    x = 544,615,569/15,102
  6. Step 6: Final answer
    x = 36,062.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.