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Finding the Third Proportional to 39,888 and 83,904

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Solution

The third proportional to 39,888 and 83,904 is: 176,491.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,888 : 83,904 = 83,904 : x
  2. Step 2: Convert to fraction form
    39,888/83,904 = 83,904/x
  3. Step 3: Cross multiply
    39,888x = 83,904 × 83,904
  4. Step 4: Simplify right side
    39,888x = 7,039,881,216
  5. Step 5: Solve for x
    x = 7,039,881,216/39,888
  6. Step 6: Final answer
    x = 176,491.21

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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.