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Finding the Third Proportional to 39,884 and 83,900

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Solution

The third proportional to 39,884 and 83,900 is: 176,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,884 : 83,900 = 83,900 : x
  2. Step 2: Convert to fraction form
    39,884/83,900 = 83,900/x
  3. Step 3: Cross multiply
    39,884x = 83,900 × 83,900
  4. Step 4: Simplify right side
    39,884x = 7,039,210,000
  5. Step 5: Solve for x
    x = 7,039,210,000/39,884
  6. Step 6: Final answer
    x = 176,492.08

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