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Finding the Third Proportional to 39,584 and 83,008

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Solution

The third proportional to 39,584 and 83,008 is: 174,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,584 : 83,008 = 83,008 : x
  2. Step 2: Convert to fraction form
    39,584/83,008 = 83,008/x
  3. Step 3: Cross multiply
    39,584x = 83,008 × 83,008
  4. Step 4: Simplify right side
    39,584x = 6,890,328,064
  5. Step 5: Solve for x
    x = 6,890,328,064/39,584
  6. Step 6: Final answer
    x = 174,068.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.