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Finding the Third Proportional to 30,810.38 and 47,521.69

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Solution

The third proportional to 30,810.38 and 47,521.69 is: 73,297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,810.38 : 47,521.69 = 47,521.69 : x
  2. Step 2: Convert to fraction form
    30,810.38/47,521.69 = 47,521.69/x
  3. Step 3: Cross multiply
    30,810.38x = 47,521.69 × 47,521.69
  4. Step 4: Simplify right side
    30,810.38x = 2,258,310,782.85
  5. Step 5: Solve for x
    x = 2,258,310,782.85/30,810.38
  6. Step 6: Final answer
    x = 73,297.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.