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Finding the Third Proportional to 30,471.19 and 44,825.06

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Solution

The third proportional to 30,471.19 and 44,825.06 is: 65,940.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.19 : 44,825.06 = 44,825.06 : x
  2. Step 2: Convert to fraction form
    30,471.19/44,825.06 = 44,825.06/x
  3. Step 3: Cross multiply
    30,471.19x = 44,825.06 × 44,825.06
  4. Step 4: Simplify right side
    30,471.19x = 2,009,286,228.13
  5. Step 5: Solve for x
    x = 2,009,286,228.13/30,471.19
  6. Step 6: Final answer
    x = 65,940.53

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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.