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Finding the Third Proportional to 39,003 and 84,465.75

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Solution

The third proportional to 39,003 and 84,465.75 is: 182,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,003 : 84,465.75 = 84,465.75 : x
  2. Step 2: Convert to fraction form
    39,003/84,465.75 = 84,465.75/x
  3. Step 3: Cross multiply
    39,003x = 84,465.75 × 84,465.75
  4. Step 4: Simplify right side
    39,003x = 7,134,462,923.06
  5. Step 5: Solve for x
    x = 7,134,462,923.06/39,003
  6. Step 6: Final answer
    x = 182,920.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.