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Finding the Third Proportional to 39,004 and 84,486

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Solution

The third proportional to 39,004 and 84,486 is: 183,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,004 : 84,486 = 84,486 : x
  2. Step 2: Convert to fraction form
    39,004/84,486 = 84,486/x
  3. Step 3: Cross multiply
    39,004x = 84,486 × 84,486
  4. Step 4: Simplify right side
    39,004x = 7,137,884,196
  5. Step 5: Solve for x
    x = 7,137,884,196/39,004
  6. Step 6: Final answer
    x = 183,003.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.