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Finding the Third Proportional to 30,628.13 and 45,658.69

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Solution

The third proportional to 30,628.13 and 45,658.69 is: 68,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,628.13 : 45,658.69 = 45,658.69 : x
  2. Step 2: Convert to fraction form
    30,628.13/45,658.69 = 45,658.69/x
  3. Step 3: Cross multiply
    30,628.13x = 45,658.69 × 45,658.69
  4. Step 4: Simplify right side
    30,628.13x = 2,084,715,744.22
  5. Step 5: Solve for x
    x = 2,084,715,744.22/30,628.13
  6. Step 6: Final answer
    x = 68,065.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.