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Finding the Third Proportional to 38,394 and 83,972

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Solution

The third proportional to 38,394 and 83,972 is: 183,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,394 : 83,972 = 83,972 : x
  2. Step 2: Convert to fraction form
    38,394/83,972 = 83,972/x
  3. Step 3: Cross multiply
    38,394x = 83,972 × 83,972
  4. Step 4: Simplify right side
    38,394x = 7,051,296,784
  5. Step 5: Solve for x
    x = 7,051,296,784/38,394
  6. Step 6: Final answer
    x = 183,656.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.