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Finding the Third Proportional to 39,340.37 and 84,966.23

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Solution

The third proportional to 39,340.37 and 84,966.23 is: 183,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,340.37 : 84,966.23 = 84,966.23 : x
  2. Step 2: Convert to fraction form
    39,340.37/84,966.23 = 84,966.23/x
  3. Step 3: Cross multiply
    39,340.37x = 84,966.23 × 84,966.23
  4. Step 4: Simplify right side
    39,340.37x = 7,219,260,486.02
  5. Step 5: Solve for x
    x = 7,219,260,486.02/39,340.37
  6. Step 6: Final answer
    x = 183,507.69

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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.