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Finding the Third Proportional to 39,010.40 and 83,941.08

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Solution

The third proportional to 39,010.40 and 83,941.08 is: 180,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,010.40 : 83,941.08 = 83,941.08 : x
  2. Step 2: Convert to fraction form
    39,010.40/83,941.08 = 83,941.08/x
  3. Step 3: Cross multiply
    39,010.40x = 83,941.08 × 83,941.08
  4. Step 4: Simplify right side
    39,010.40x = 7,046,104,104.94
  5. Step 5: Solve for x
    x = 7,046,104,104.94/39,010.40
  6. Step 6: Final answer
    x = 180,621.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.