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Finding the Third Proportional to 39,237 and 84,913

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Solution

The third proportional to 39,237 and 84,913 is: 183,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,237 : 84,913 = 84,913 : x
  2. Step 2: Convert to fraction form
    39,237/84,913 = 84,913/x
  3. Step 3: Cross multiply
    39,237x = 84,913 × 84,913
  4. Step 4: Simplify right side
    39,237x = 7,210,217,569
  5. Step 5: Solve for x
    x = 7,210,217,569/39,237
  6. Step 6: Final answer
    x = 183,760.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.