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Finding the Third Proportional to 30,824.44 and 45,264.38

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Solution

The third proportional to 30,824.44 and 45,264.38 is: 66,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824.44 : 45,264.38 = 45,264.38 : x
  2. Step 2: Convert to fraction form
    30,824.44/45,264.38 = 45,264.38/x
  3. Step 3: Cross multiply
    30,824.44x = 45,264.38 × 45,264.38
  4. Step 4: Simplify right side
    30,824.44x = 2,048,863,644.14
  5. Step 5: Solve for x
    x = 2,048,863,644.14/30,824.44
  6. Step 6: Final answer
    x = 66,468.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.