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Finding the Third Proportional to 39,816 and 83,466

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Solution

The third proportional to 39,816 and 83,466 is: 174,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,816 : 83,466 = 83,466 : x
  2. Step 2: Convert to fraction form
    39,816/83,466 = 83,466/x
  3. Step 3: Cross multiply
    39,816x = 83,466 × 83,466
  4. Step 4: Simplify right side
    39,816x = 6,966,573,156
  5. Step 5: Solve for x
    x = 6,966,573,156/39,816
  6. Step 6: Final answer
    x = 174,969.19

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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.