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Finding the Third Proportional to 39,038.25 and 84,633

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Solution

The third proportional to 39,038.25 and 84,633 is: 183,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,038.25 : 84,633 = 84,633 : x
  2. Step 2: Convert to fraction form
    39,038.25/84,633 = 84,633/x
  3. Step 3: Cross multiply
    39,038.25x = 84,633 × 84,633
  4. Step 4: Simplify right side
    39,038.25x = 7,162,744,689
  5. Step 5: Solve for x
    x = 7,162,744,689/39,038.25
  6. Step 6: Final answer
    x = 183,480.17

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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.