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Finding the Third Proportional to 13,260 and 30,237

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Solution

The third proportional to 13,260 and 30,237 is: 68,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,260 : 30,237 = 30,237 : x
  2. Step 2: Convert to fraction form
    13,260/30,237 = 30,237/x
  3. Step 3: Cross multiply
    13,260x = 30,237 × 30,237
  4. Step 4: Simplify right side
    13,260x = 914,276,169
  5. Step 5: Solve for x
    x = 914,276,169/13,260
  6. Step 6: Final answer
    x = 68,949.94

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.