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Finding the Third Proportional to 30,365 and 47,534

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Solution

The third proportional to 30,365 and 47,534 is: 74,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,365 : 47,534 = 47,534 : x
  2. Step 2: Convert to fraction form
    30,365/47,534 = 47,534/x
  3. Step 3: Cross multiply
    30,365x = 47,534 × 47,534
  4. Step 4: Simplify right side
    30,365x = 2,259,481,156
  5. Step 5: Solve for x
    x = 2,259,481,156/30,365
  6. Step 6: Final answer
    x = 74,410.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.