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Finding the Third Proportional to 39,130 and 84,638

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Solution

The third proportional to 39,130 and 84,638 is: 183,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,130 : 84,638 = 84,638 : x
  2. Step 2: Convert to fraction form
    39,130/84,638 = 84,638/x
  3. Step 3: Cross multiply
    39,130x = 84,638 × 84,638
  4. Step 4: Simplify right side
    39,130x = 7,163,591,044
  5. Step 5: Solve for x
    x = 7,163,591,044/39,130
  6. Step 6: Final answer
    x = 183,071.58

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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.