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Finding the Third Proportional to 30,253.50 and 44,438.63

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Solution

The third proportional to 30,253.50 and 44,438.63 is: 65,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,253.50 : 44,438.63 = 44,438.63 : x
  2. Step 2: Convert to fraction form
    30,253.50/44,438.63 = 44,438.63/x
  3. Step 3: Cross multiply
    30,253.50x = 44,438.63 × 44,438.63
  4. Step 4: Simplify right side
    30,253.50x = 1,974,791,391.89
  5. Step 5: Solve for x
    x = 1,974,791,391.89/30,253.50
  6. Step 6: Final answer
    x = 65,274.81

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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.