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Finding the Third Proportional to 39,030 and 86,796

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Solution

The third proportional to 39,030 and 86,796 is: 193,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,030 : 86,796 = 86,796 : x
  2. Step 2: Convert to fraction form
    39,030/86,796 = 86,796/x
  3. Step 3: Cross multiply
    39,030x = 86,796 × 86,796
  4. Step 4: Simplify right side
    39,030x = 7,533,545,616
  5. Step 5: Solve for x
    x = 7,533,545,616/39,030
  6. Step 6: Final answer
    x = 193,019.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.