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Finding the Third Proportional to 13,207 and 23,487

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Solution

The third proportional to 13,207 and 23,487 is: 41,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207 : 23,487 = 23,487 : x
  2. Step 2: Convert to fraction form
    13,207/23,487 = 23,487/x
  3. Step 3: Cross multiply
    13,207x = 23,487 × 23,487
  4. Step 4: Simplify right side
    13,207x = 551,639,169
  5. Step 5: Solve for x
    x = 551,639,169/13,207
  6. Step 6: Final answer
    x = 41,768.70

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.