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Finding the Third Proportional to 32,100 and 77,326

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Solution

The third proportional to 32,100 and 77,326 is: 186,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,100 : 77,326 = 77,326 : x
  2. Step 2: Convert to fraction form
    32,100/77,326 = 77,326/x
  3. Step 3: Cross multiply
    32,100x = 77,326 × 77,326
  4. Step 4: Simplify right side
    32,100x = 5,979,310,276
  5. Step 5: Solve for x
    x = 5,979,310,276/32,100
  6. Step 6: Final answer
    x = 186,271.35

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.