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Finding the Third Proportional to 39,346 and 84,973

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Solution

The third proportional to 39,346 and 84,973 is: 183,510.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,346 : 84,973 = 84,973 : x
  2. Step 2: Convert to fraction form
    39,346/84,973 = 84,973/x
  3. Step 3: Cross multiply
    39,346x = 84,973 × 84,973
  4. Step 4: Simplify right side
    39,346x = 7,220,410,729
  5. Step 5: Solve for x
    x = 7,220,410,729/39,346
  6. Step 6: Final answer
    x = 183,510.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.