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Finding the Third Proportional to 39,017.81 and 83,953.69

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Solution

The third proportional to 39,017.81 and 83,953.69 is: 180,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,017.81 : 83,953.69 = 83,953.69 : x
  2. Step 2: Convert to fraction form
    39,017.81/83,953.69 = 83,953.69/x
  3. Step 3: Cross multiply
    39,017.81x = 83,953.69 × 83,953.69
  4. Step 4: Simplify right side
    39,017.81x = 7,048,221,644.85
  5. Step 5: Solve for x
    x = 7,048,221,644.85/39,017.81
  6. Step 6: Final answer
    x = 180,641.13

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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.