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Finding the Third Proportional to 15,201 and 23,237

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Solution

The third proportional to 15,201 and 23,237 is: 35,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201 : 23,237 = 23,237 : x
  2. Step 2: Convert to fraction form
    15,201/23,237 = 23,237/x
  3. Step 3: Cross multiply
    15,201x = 23,237 × 23,237
  4. Step 4: Simplify right side
    15,201x = 539,958,169
  5. Step 5: Solve for x
    x = 539,958,169/15,201
  6. Step 6: Final answer
    x = 35,521.23

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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.