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Finding the Third Proportional to 30,538 and 43,588

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Solution

The third proportional to 30,538 and 43,588 is: 62,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538 : 43,588 = 43,588 : x
  2. Step 2: Convert to fraction form
    30,538/43,588 = 43,588/x
  3. Step 3: Cross multiply
    30,538x = 43,588 × 43,588
  4. Step 4: Simplify right side
    30,538x = 1,899,913,744
  5. Step 5: Solve for x
    x = 1,899,913,744/30,538
  6. Step 6: Final answer
    x = 62,214.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.