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Finding the Third Proportional to 30,390 and 44,559

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Solution

The third proportional to 30,390 and 44,559 is: 65,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,390 : 44,559 = 44,559 : x
  2. Step 2: Convert to fraction form
    30,390/44,559 = 44,559/x
  3. Step 3: Cross multiply
    30,390x = 44,559 × 44,559
  4. Step 4: Simplify right side
    30,390x = 1,985,504,481
  5. Step 5: Solve for x
    x = 1,985,504,481/30,390
  6. Step 6: Final answer
    x = 65,334.14

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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.