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Finding the Third Proportional to 30,564 and 48,634

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Solution

The third proportional to 30,564 and 48,634 is: 77,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564 : 48,634 = 48,634 : x
  2. Step 2: Convert to fraction form
    30,564/48,634 = 48,634/x
  3. Step 3: Cross multiply
    30,564x = 48,634 × 48,634
  4. Step 4: Simplify right side
    30,564x = 2,365,265,956
  5. Step 5: Solve for x
    x = 2,365,265,956/30,564
  6. Step 6: Final answer
    x = 77,387.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.